Clastify logo
Clastify logo
Exam prep
Exemplars
Review
HOT
We're hiring a TikTok Content Creator (paid opportunity). Click here to learn more.

D.2 Electric and magnetic fields

Practice exam-style IB Physics questions for Electric and magnetic fields, aligned with the syllabus and grouped by topic.

Verified by Kun
Verified by Kun
Paper
Difficulty
Status
Level
Question 1
SL • Paper 1A
Easy
Calculator Permitted

In a Millikan-type experiment, the measured charge on each oil drop must be an integer multiple of the elementary charge ee.

What set of measured charges is consistent with charge quantization?

A.

1.6Ɨ10āˆ’19 C1.6\times10^{-19}\,\text{C}, 3.2Ɨ10āˆ’19 C3.2\times10^{-19}\,\text{C}, 4.8Ɨ10āˆ’19 C4.8\times10^{-19}\,\text{C}

B.

1.6Ɨ10āˆ’19 C1.6\times10^{-19}\,\text{C}, 2.4Ɨ10āˆ’19 C2.4\times10^{-19}\,\text{C}, 4.8Ɨ10āˆ’19 C4.8\times10^{-19}\,\text{C}

C.

0.8Ɨ10āˆ’19 C0.8\times10^{-19}\,\text{C}, 1.6Ɨ10āˆ’19 C1.6\times10^{-19}\,\text{C}, 3.2Ɨ10āˆ’19 C3.2\times10^{-19}\,\text{C}

D.

1.2Ɨ10āˆ’19 C1.2\times10^{-19}\,\text{C}, 2.4Ɨ10āˆ’19 C2.4\times10^{-19}\,\text{C}, 3.6Ɨ10āˆ’19 C3.6\times10^{-19}\,\text{C}

Question 2
SL • Paper 1A
Easy
Calculator Permitted

Two small charged spheres are separated by a distance rr in air and exert an electrostatic force of magnitude FF on each other. The separation is changed to 2r2r and the spheres are placed in an insulating liquid where the permittivity is three times that of air.

What is the new force magnitude?

A.

F6\dfrac{F}{6}

B.

F12\dfrac{F}{12}

C.

F4\dfrac{F}{4}

D.

3F4\dfrac{3F}{4}

Question 3
SL • Paper 1A
Easy
Calculator Permitted

A negatively charged plastic rod is brought close to, but does not touch, a neutral metal sphere on an insulating stand. The sphere is then connected briefly to Earth while the rod remains in place. The Earth connection is removed before the rod is taken away.

What is the final charge on the sphere and the charge transfer during earthing?

A.

The sphere is negative; electrons move from Earth to the sphere.

B.

The sphere remains neutral; equal charges move in opposite directions.

C.

The sphere is positive; protons move from Earth to the sphere.

D.

The sphere is positive; electrons move from the sphere to Earth.

Question 4
SL • Paper 1A
Easy
Calculator Permitted

A long straight wire is perpendicular to the page and carries conventional current out of the page.

What diagram shows the magnetic field around the wire?

A.
B.
C.
D.
Question 5
HL • Paper 1A
Easy
Calculator Permitted

Two point charges, +3.0 μC+3.0\,\mu\text{C} and āˆ’2.0 μC-2.0\,\mu\text{C}, are separated by 0.30 m0.30\,\text{m} in a vacuum.

What is the electric potential energy of the two-charge system?

A.

+0.18 J+0.18\,\text{J}

B.

āˆ’0.18 J-0.18\,\text{J}

C.

āˆ’0.060 J-0.060\,\text{J}

D.

+0.060 J+0.060\,\text{J}

Question 6
HL • Paper 1A
Easy
Calculator Permitted

The diagram shows equipotential lines in a region of an electric field. Adjacent lines differ by the same potential difference.

At which labelled point is the electric field strength greatest?

A two-dimensional equipotential map with several smooth, non-crossing equipotential lines. The lines are closest together near point A, moderately spaced near point B, widely spaced near point C, and evenly but not closely spaced near point D. The points A, B, C and D are marked in clear regions between neighbouring equipotential lines. Adjacent equipotential lines represent equal potential differences. No electric field arrows are drawn.
A.

C

B.

A

C.

B

D.

D

Question 7
SL • Paper 2
Easy
Calculator Permitted

A negatively charged insulating rod is brought close to a neutral conducting sphere on an insulating stand. The sphere is connected briefly to Earth while the rod remains in position. The Earth connection is then removed before the rod is taken away.

A conducting sphere on an insulating stand is shown near a negatively charged rod without contact. A wire connects the sphere to an Earth symbol. The rod is labelled negative and is positioned to one side of the sphere. No charge distribution is drawn on the sphere.
A

Explain why the sphere is left with a net charge and state the sign of this charge.

[3]
Write your answer here...

0

Question 8
SL • Paper 2
Easy
Calculator Permitted

In a Millikan-type experiment, the measured charges on three oil drops are 3.20Ɨ10āˆ’19Ā C3.20\times 10^{-19}\ \text{C}, 4.80Ɨ10āˆ’19Ā C4.80\times 10^{-19}\ \text{C} and 6.40Ɨ10āˆ’19Ā C6.40\times 10^{-19}\ \text{C}.

A

Deduce the elementary charge from these data and explain how the data support charge quantization.

[2]
Write your answer here...

0

Question 9
SL • Paper 2
Easy
Calculator Permitted

A long straight wire carries a steady conventional current into the plane of the page.

A cross-section diagram of a straight wire represented by a circle with a cross symbol at its centre, indicating conventional current into the page. Several blank circular guide paths may be lightly shown around the wire without arrowheads.
A

State the direction of the magnetic field around the wire and describe how the field strength changes with distance from the wire.

[2]
Write your answer here...

0

Question 10
SL • Paper 1A
Medium
Calculator Permitted

Two parallel metal plates have a potential difference of 600 V600\,\text{V} and are separated by 3.0 cm3.0\,\text{cm}. A particle of charge +2.0Ɨ10āˆ’6 C+2.0\times10^{-6}\,\text{C} is between the plates away from edge effects.

What is the magnitude of the electric force on the particle?

A.

4.0Ɨ10āˆ’8 N4.0\times10^{-8}\,\text{N}

B.

3.6Ɨ10āˆ’5 N3.6\times10^{-5}\,\text{N}

C.

1.2Ɨ10āˆ’3 N1.2\times10^{-3}\,\text{N}

D.

4.0Ɨ10āˆ’2 N4.0\times10^{-2}\,\text{N}

Question 11
SL • Paper 1A
Medium
Calculator Permitted

Two equal positive point charges are fixed a small distance apart.

What diagram best represents the electric field lines in the plane containing the charges?

A.
B.
C.
D.
Question 12
HL • Paper 1A
Medium
Calculator Permitted

Four point charges are fixed at the corners of a square. The charges on one diagonal are +Q+Q and +Q+Q. The charges on the other diagonal are āˆ’Q-Q and āˆ’Q-Q.

What is the electric potential at the centre of the square?

A square with four point charges at its corners. One diagonal pair is labelled $+Q$ and $+Q$; the other diagonal pair is labelled $-Q$ and $-Q$. A point at the centre is labelled $P$. All four corners are the same distance from $P$. No field arrows are shown.
A.

zero

B.

2kQr\dfrac{2kQ}{r}, where rr is the distance from a corner to the centre

C.

4kQr\dfrac{4kQ}{r}, where rr is the distance from a corner to the centre

D.

It cannot be determined without knowing the directions of the electric fields.

Question 13
HL • Paper 1A
Medium
Calculator Permitted

The electric potential varies along the xx-axis from 12 V12\,\text{V} at x=0.20 mx=0.20\,\text{m} to 4 V4\,\text{V} at x=0.60 mx=0.60\,\text{m}.

What is the average electric field component ExE_x between these points?

A.

āˆ’20 VĀ māˆ’1-20\,\text{V m}^{-1}

B.

+40 VĀ māˆ’1+40\,\text{V m}^{-1}

C.

+20 VĀ māˆ’1+20\,\text{V m}^{-1}

D.

āˆ’40 VĀ māˆ’1-40\,\text{V m}^{-1}

Question 14
HL • Paper 1A
Medium
Calculator Permitted

An electron is moved from a point at electric potential āˆ’3.0 V-3.0\,\text{V} to a point at electric potential +2.0 V+2.0\,\text{V}.

What is the change in electric potential energy of the electron?

A.

āˆ’5.0 eV-5.0\,\text{eV}

B.

+5.0 eV+5.0\,\text{eV}

C.

āˆ’1.0 eV-1.0\,\text{eV}

D.

+1.0 eV+1.0\,\text{eV}

Question 15
SL • Paper 2
Medium
Calculator Permitted

Two small charged spheres are fixed in a liquid of relative permittivity 3.03.0. The charges are +4.0Ā nC+4.0\ \text{nC} and āˆ’6.0Ā nC-6.0\ \text{nC} and their separation is 0.080Ā m0.080\ \text{m}.

A simple horizontal line diagram showing two small spheres separated by a labelled distance. The left sphere is labelled with a positive charge and the right sphere with a negative charge. The liquid medium is indicated by a lightly shaded rectangular region surrounding both spheres. No force arrows are shown.
A

Calculate the magnitude of the electrostatic force on either sphere and state the direction of the force on the positive sphere.

[2]
Write your answer here...

0

Question 16
SL • Paper 2
Medium
Calculator Permitted

Two large parallel metal plates are separated by 12 mm12\ \text{mm}. The potential difference between the plates is 240 V240\ \text{V}. A small particle with charge +2.0 μC+2.0\ \mu\text{C} is placed midway between the plates, away from the edges.

A side-view diagram of two vertical parallel plates separated by a labelled gap. The left plate is labelled positive and the right plate negative. A small positive charged particle is shown midway between the plates. The potential difference and plate separation are labelled. No field lines or force arrows are shown.
A

Calculate the electric field strength between the plates.

[1]
Write your answer here...
B

Calculate the force on the particle and state its direction.

[2]
Write your answer here...

0

Question 17
HL • Paper 2
Medium
Calculator Permitted

Two point charges are fixed in a vacuum. The charges are +4.0Ā nC+4.0\ \text{nC} and āˆ’2.0Ā nC-2.0\ \text{nC} and their separation is 0.050Ā m0.050\ \text{m}.

A horizontal diagram showing two fixed point charges separated by a labelled distance. One charge is positive and the other is negative. No force arrows or energy annotations are shown.
A

Calculate the electric potential energy of the two-charge system and explain the meaning of its sign.

[3]
Write your answer here...

0

Question 18
HL • Paper 2
Medium
Calculator Permitted

Point PP is 0.20Ā m0.20\ \text{m} from a charge of +6.0Ā nC+6.0\ \text{nC} and 0.10Ā m0.10\ \text{m} from a charge of āˆ’3.0Ā nC-3.0\ \text{nC}.

A triangular arrangement showing two point charges and point P. Each charge is joined to P by a labelled distance line. The signs of the charges are labelled. No field arrows or equipotential lines are shown.
A

Calculate the electric potential at point PP due to the two charges.

[2]
Write your answer here...

0

Question 19
HL • Paper 2
Medium
Calculator Permitted

Points PP and QQ lie on the same equipotential line in an electric field. A small positive charge is moved slowly from PP to QQ along this line.

A two-dimensional field map showing several smooth equipotential lines. Points P and Q are marked on the same equipotential line. A few electric field lines cross the equipotential lines, but no work or force annotations are included.
A

Explain why no work is done in moving the charge from PP to QQ.

[2]
Write your answer here...

0

Question 20
SL • Paper 1B
Medium
Calculator Permitted

Three identical metal spheres on insulating stands are used in two electrostatics procedures. The charge on each sphere is measured before and after contact or grounding.

An annotated sequence of diagrams. In the first sequence, identical metal spheres A and B are shown before contact, touching, and then separated, with only the initial charge readings displayed; the final charges are left unlabeled. In the second sequence, neutral sphere C is shown near a negatively charged rod, then connected to ground while the rod remains nearby, then disconnected from ground before the rod is removed. Charge meter readings are shown where appropriate, and electron-flow arrows are included only for the grounding stage.
A

Determine the final charge on each of spheres A and B after they touch and are separated.

[1]
Write your answer here...
B

State the sign of the final charge on sphere C after the induction procedure.

[1]
Write your answer here...
C

Explain the role of grounding in the induction procedure shown.

[2]
Write your answer here...

0

Question 21
SL • Paper 1B
Medium
Calculator Permitted

A pair of large parallel metal plates is connected to a high-voltage supply. A singly charged positive ion is moved from the positive plate to the negative plate through the central uniform region.

A side-view diagram of two large, oppositely charged parallel plates with a labelled potential difference and plate separation. Straight, equally spaced field lines are drawn in the central region from the positive plate to the negative plate, with slight curvature near the edges. A singly charged positive ion is shown at the positive plate with an arrow indicating motion across the gap.
A

Calculate the electric field strength between the plates in the central region.

[1]
Write your answer here...
B

Determine the electric force on the ion, including its direction.

[2]
Write your answer here...
C

Determine the energy transferred to the ion as it moves across the full potential difference. Give your answer in joules and in electronvolts.

[2]
Write your answer here...

0

Question 22
HL • Paper 1A
Medium
Calculator Permitted

A hollow conducting sphere carries a positive charge and contains no charge inside its cavity. The zero of electric potential is at infinity.

What pair of graphs shows the variation with distance rr from the centre of the sphere of the electric field strength EE and the electric potential VeV_e?

A.
B.
C.
D.
Question 23
SL • Paper 2
Medium
Calculator Permitted

A hollow conducting sphere has a positive net charge and is in electrostatic equilibrium. The diagram shows a cross-section of the sphere.

A blank cross-section of a hollow conducting sphere, shown as two concentric circles representing the outer and inner surfaces. The conducting material is lightly shaded between the circles. The sphere is labelled positively charged. No field lines or arrows are drawn.
A

Sketch the electric field lines for the sphere, both outside the sphere and inside the hollow region.

[2]
Write your answer here...

0

Question 24
HL • Paper 2
Medium
Calculator Permitted

The graph shows the variation of electric potential VeV_e with position xx between two parallel plates. The potential decreases uniformly from 300Ā V300\ \text{V} at x=0x=0 to 60Ā V60\ \text{V} at x=0.080Ā mx=0.080\ \text{m}.

Electric potential varies linearly with position between parallel plates.
A

Determine the electric field strength between the plates, including its direction along the xx-axis.

[2]
Write your answer here...

0

Question 25
HL • Paper 2
Medium
Calculator Permitted

An electron is moved from a point where the electric potential is +20Ā V+20\ \text{V} to a point where the electric potential is āˆ’30Ā V-30\ \text{V}.

A

Calculate the change in electric potential energy of the electron in joules and in electronvolts.

[2]
Write your answer here...
B

State whether the electric potential energy of the electron-field system increases or decreases.

[1]
Write your answer here...

0

Question 26
HL • Paper 2
Medium
Calculator Permitted

A hollow conducting sphere of radius 0.15Ā m0.15\ \text{m} carries a charge of +5.0Ā nC+5.0\ \text{nC}. There is no charge inside the hollow region.

A cross-section of a hollow conducting sphere with the radius labelled from the centre to the outer surface. The hollow region is shown clearly. The total positive charge of the sphere is labelled. No electric field lines or equipotential lines are drawn.
A

State the electric field strength inside the hollow region.

[1]
Write your answer here...
B

Calculate the electric potential at the centre of the hollow region.

[2]
Write your answer here...

0

Question 27
SL • Paper 1B
Medium
Calculator Permitted

Two small conducting spheres carry fixed charges and are placed at different separations. The force sensor records the magnitude of the electrostatic force in air and then with the spheres immersed in an insulating oil.

Electrostatic force measured for fixed charges in air and in insulating oil at several values of 1/r^2.
A

Describe the relationship between the force in air and the separation of the charged spheres.

[1]
Write your answer here...
B

Use the air data to determine the magnitude ∣q1q2∣|q_1q_2| of the charges on the spheres.

[2]
Write your answer here...
C

Explain why the force readings in the insulating oil are smaller than those in air for the same separation.

[2]
Write your answer here...

0

Question 28
SL • Paper 1B
Medium
Calculator Permitted

In a Millikan-type experiment, several oil drops are held stationary between horizontal plates by adjusting the potential difference. The charge calculated for each drop is shown.

Oil dropCharge / C
1-1.6 Ɨ 10^-19
2-3.2 Ɨ 10^-19
3-4.8 Ɨ 10^-19
4-6.4 Ɨ 10^-19
5-8.0 Ɨ 10^-19
6-9.6 Ɨ 10^-19
A

Use the data to estimate the elementary charge.

[1]
Write your answer here...
B

Determine the number of excess electrons on the drop with charge āˆ’6.4Ɨ10āˆ’19Ā C-6.4 \times 10^{-19}\ \text{C}.

[1]
Write your answer here...
C

Explain how these data support the conclusion that charge is quantized.

[2]
Write your answer here...

0

Question 29
SL • Paper 1B
Medium
Calculator Permitted

A vertical straight wire passes through a horizontal card. Small plotting compasses are placed at different positions around the wire while a steady conventional current flows.

A top-view diagram of a vertical wire through a card with concentric circular guide lines around the wire. Plotting compasses at several positions have their north-seeking ends aligned tangentially to the circular field pattern. A small table beside the diagram shows compass deflection angle at different distances from the wire. A second small inset shows an air-core solenoid with labelled current direction and field lines inside and outside.
A

Determine the direction of the conventional current in the straight wire.

[1]
Write your answer here...
B

Describe how the magnetic field strength changes with distance from the wire.

[1]
Write your answer here...
C

Suggest two changes that would increase the magnetic field strength inside the air-core solenoid.

[2]
Write your answer here...

0

Question 30
HL • Paper 1B
Medium
Calculator Permitted

The electric potential is measured at different distances from an isolated point charge. The zero of potential is taken to be at infinity.

Electric potential against distance from a point charge with a tangent line.
A

State the sign of the point charge.

[1]
Write your answer here...
B

Use the graph to determine the magnitude of the point charge.

[2]
Write your answer here...
C

Use the tangent to determine the electric field strength at the labelled distance, including direction.

[2]
Write your answer here...

0

Question 31
HL • Paper 1B
Medium
Calculator Permitted

A conducting-paper experiment is used to map electric potentials between two metal electrodes of different shapes. Several equipotential lines are drawn from voltmeter readings.

A conducting-paper map with two labelled electrodes connected to a low-voltage supply. Curved equipotential lines labelled with voltage values span the region between the electrodes. Points P, Q and R are marked; P lies where adjacent equipotentials are close together, Q lies on the same equipotential as R, and arrows for possible field directions are not shown. A scale bar is included.
A

Determine the work done in moving a +3.0Ā nC+3.0\ \text{nC} test charge from Q to R.

[1]
Write your answer here...
B

State the direction of the electric field at P relative to the equipotential line through P.

[1]
Write your answer here...
C

Estimate the magnitude of the electric field strength at P.

[2]
Write your answer here...
D

Explain why the field is strongest near P.

[1]
Write your answer here...

0

Question 32
SL • Paper 1B
Hard
Calculator Permitted

A charged hollow conducting sphere is isolated from its surroundings. Measurements of electric field strength are made at different distances from the centre of the sphere.

Distance from centre / mElectric field strength / N C^-1
0.050
0.100
0.150
0.204500
0.302000
0.401125
A

State the electric field strength inside the hollow region of the sphere.

[1]
Write your answer here...
B

Use the external field data to determine the magnitude of the charge on the sphere.

[2]
Write your answer here...
C

Explain why the field is zero inside the hollow conductor but not zero outside it.

[2]
Write your answer here...

0

Question 33
HL • Paper 1B
Hard
Calculator Permitted

Three point charges are fixed at the corners of a triangle. The electric potential energy of the system is found by assembling the charges from infinite separation.

A labelled triangle with point charges at the three vertices. A table beside the diagram gives the charge values at A, B and C and the three side lengths. The charges include both positive and negative values. Units for charge and distance are shown.
A

Calculate the electric potential energy of the pair of charges at A and B.

[1]
Write your answer here...
B

Determine the total electric potential energy of the three-charge system.

[2]
Write your answer here...
C

Explain the meaning of the negative value for the total electric potential energy.

[1]
Write your answer here...

0

Question 34
HL • Paper 1B
Hard
Calculator Permitted

A charged solid conducting sphere is isolated in air. The electric potential is measured along a radial line from the centre of the sphere.

Electric potential along radial distance from a charged conducting sphere.
A

Use the graph to determine the radius of the conducting sphere.

[1]
Write your answer here...
B

Determine the charge on the sphere.

[2]
Write your answer here...
C

Use the graph to compare the electric field strength inside the sphere with that just outside its surface.

[2]
Write your answer here...

0

Question 35
HL • Paper 1B
Hard
Calculator Permitted

The potential between two parallel plates is measured along a line perpendicular to the plates. Measurements are also taken close to one edge of the plates.

Potential along centre and near-edge lines between two plates.
A

Determine the electric field strength in the central region, including its direction.

[2]
Write your answer here...
B

Calculate the change in electric potential energy of an electron moved from the negative plate to the positive plate.

[2]
Write your answer here...
C

Evaluate whether the central value of electric field strength is a valid estimate near the edge of the plates.

[1]
Write your answer here...

0

Question 36
SL • Paper 2
Hard
Calculator Permitted

Two small insulating spheres carry charges +3.2 μC+3.2\ \mu\text{C} and āˆ’1.8 μC-1.8\ \mu\text{C}. The centres of the spheres are separated by 0.24Ā m0.24\ \text{m} in air. The spheres may be treated as point charges.

A horizontal line diagram showing two small labelled charged spheres separated by a dimension arrow. The left sphere is labelled $+3.2\ \mu\text{C}$, the right sphere is labelled $-1.8\ \mu\text{C}$, and the centre-to-centre separation is labelled $0.24\ \text{m}$. A point midway between the spheres is marked $M$ but no force or field arrows are shown.
A

The electrostatic interaction between the two spheres is considered.

I.

Calculate the magnitude of the force on either sphere.

[2]
Write your answer here...
II.

Explain the direction of the force on each sphere.

[2]
Write your answer here...
B

The spheres are immersed in an oil for which the permittivity is 2.52.5 times the permittivity of air. The separation and charges are unchanged. Discuss the effect on the force and on the subsequent motion if the spheres are released from rest.

[3]
Write your answer here...

0

Question 37
SL • Paper 2
Hard
Calculator Permitted

A negatively charged insulating rod is brought near an isolated neutral metal sphere on an insulating stand. A student then connects the sphere briefly to Earth using a conducting wire, removes the wire, and finally removes the rod.

Three-stage electrostatic induction diagram. Stage 1 shows a negatively charged rod near the left side of a neutral metal sphere on an insulating stand. Stage 2 shows the sphere grounded by a wire while the rod remains nearby. Stage 3 shows the sphere after both wire and rod have been removed. No final charge sign is indicated.
A

The charging process is analysed.

I.

Explain the distribution of charge on the sphere just before it is connected to Earth.

[2]
Write your answer here...
II.

Explain why the sphere is left with a positive charge at the end of the process.

[2]
Write your answer here...
B

The student claims that positive charge has been created in the sphere. Evaluate this claim.

[3]
Write your answer here...

0

Question 38
SL • Paper 2
Hard
Calculator Permitted

A hollow conducting sphere is mounted on an insulating support. A small positive charge is placed outside the sphere. No charge is placed inside the hollow cavity.

A cross-section of a hollow conducting sphere with a clearly labelled conducting shell and empty cavity. A small positive point charge is shown outside the sphere to one side. Points A inside the cavity, B within the conducting material, and C just outside the outer surface are marked. No field lines are drawn.
A

The electric field in and near the conductor is considered.

I.

State the electric field strength at point B within the conducting material when electrostatic equilibrium has been reached.

[1]
Write your answer here...
II.

Explain why the electric field at the surface of the conductor is perpendicular to the surface.

[2]
Write your answer here...
III.

State the electric field strength at point A in the empty cavity.

[1]
Write your answer here...
B

Discuss how the field-line pattern outside the conducting sphere differs from that around an isolated positive point charge.

[3]
Write your answer here...

0

Question 39
SL • Paper 2
Hard
Calculator Permitted

A long straight wire, a circular coil and an air-core solenoid each carry a steady conventional current. A small plotting compass is used to investigate the magnetic field patterns.

A composite diagram with three separate labelled apparatus sketches: a vertical straight wire passing through a card, a circular current-carrying coil viewed from the front, and a long air-core solenoid viewed from the side. Current directions are indicated on each apparatus. No magnetic field lines are drawn.
A

The magnetic field near the straight wire is considered.

I.

Describe the shape of the magnetic field lines around the straight wire.

[1]
Write your answer here...
II.

Explain how the direction of the magnetic field is determined from the current direction.

[2]
Write your answer here...
III.

State how the spacing of field lines changes with distance from the wire.

[1]
Write your answer here...
B

Compare and contrast the field pattern of the circular coil with that of the air-core solenoid.

[3]
Write your answer here...

0

Question 40
HL • Paper 2
Hard
Calculator Permitted

A hollow conducting sphere of radius 0.12Ā m0.12\ \text{m} carries a total charge of +8.0Ā nC+8.0\ \text{nC}. There is no charge inside the cavity. The electric potential is defined to be zero at infinity.

A cross-sectional diagram of a charged hollow conducting sphere. The outer radius is labelled $0.12\ \text{m}$ and the sphere is labelled total charge $+8.0\ \text{nC}$. Points A at the centre of the cavity, B on the conducting material, and C outside the sphere are marked. No equipotential lines or field lines are drawn.
A

The potential of the charged conducting sphere is considered.

I.

Calculate the electric potential at the outer surface of the sphere.

[2]
Write your answer here...
II.

State the electric potential at point A in the cavity.

[1]
Write your answer here...
III.

Explain why no work is done in moving a small test charge slowly from A to B.

[1]
Write your answer here...
B

Discuss the shapes of the equipotential surfaces inside and outside the charged hollow conductor.

[3]
Write your answer here...

0

Question 41
HL • Paper 1B
Hard
Calculator Permitted

Two fixed point charges produce the equipotential pattern shown. A point P is located between the charges, and several field regions are labelled.

A two-dimensional equipotential map for two point charges of unequal magnitude and opposite sign. The charges are labelled with their charge values. Curved equipotential lines are labelled with potential values and are closer together near the larger-magnitude charge. Point P is marked between the charges with its distances to both charges shown. Regions A, B and C are labelled for comparison of equipotential spacing.
A

Identify the labelled region where the electric field strength is greatest.

[1]
Write your answer here...
B

Calculate the electric potential at P.

[2]
Write your answer here...
C

Explain why the electric field at P is not necessarily zero even though the electric potential at P is zero.

[2]
Write your answer here...

0

Question 42
SL • Paper 2
Hard
Calculator Permitted

In a simplified Millikan-type experiment, an oil drop is held stationary between two horizontal parallel plates separated by 6.0Ā mm6.0\ \text{mm}. The potential difference between the plates is 510Ā V510\ \text{V}. The effective weight of the drop, including buoyancy correction, is 1.36Ɨ10āˆ’14Ā N1.36\times10^{-14}\ \text{N}.

A vertical cross-section of two horizontal parallel plates. The upper plate is labelled positive and the lower plate negative. A small oil drop is shown between the plates. The plate separation is labelled $6.0\ \text{mm}$ and the potential difference is labelled $510\ \text{V}$. No force arrows or charge value are shown.
A

The drop is stationary between the plates.

I.

Determine the magnitude of the electric field strength between the plates.

[2]
Write your answer here...
II.

Calculate the charge on the drop.

[2]
Write your answer here...
III.

State the sign of the charge on the drop.

[1]
Write your answer here...
B

Discuss how repeating this experiment for many oil drops provides evidence for quantization of charge.

[3]
Write your answer here...

0

Question 43
SL • Paper 2
Hard
Calculator Permitted

Two large horizontal parallel plates are separated by 12Ā mm12\ \text{mm} and connected to a 1.8Ā kV1.8\ \text{kV} supply. A small bead of mass 2.4Ɨ10āˆ’6Ā kg2.4\times10^{-6}\ \text{kg} carries a charge of āˆ’3.0Ā nC-3.0\ \text{nC}. The bead is released from rest close to the negative plate.

A side-view diagram of two large horizontal parallel plates. The upper plate is labelled positive and the lower plate negative. The separation is labelled $12\ \text{mm}$ and the potential difference is labelled $1.8\ \text{kV}$. A small negatively charged bead is shown near the lower negative plate. Edge effects are not shown in the central region.
A

Ignore gravitational effects and edge effects.

I.

Calculate the electric field strength between the plates.

[2]
Write your answer here...
II.

Determine the acceleration of the bead immediately after release.

[2]
Write your answer here...
III.

State the direction of the electric field between the plates.

[1]
Write your answer here...
B

Evaluate the statement: ā€œThe bead gains 1.8Ā keV1.8\ \text{keV} of kinetic energy in crossing the plates.ā€

[3]
Write your answer here...

0

Question 44
HL • Paper 2
Hard
Calculator Permitted

Three point charges are fixed at the vertices of a right-angled triangle. Charge AA is +4.0 μC+4.0\ \mu\text{C}, charge BB is +2.0 μC+2.0\ \mu\text{C} and charge CC is āˆ’3.0 μC-3.0\ \mu\text{C}. The distances are AB=0.30Ā mAB=0.30\ \text{m}, AC=0.40Ā mAC=0.40\ \text{m} and BC=0.50Ā mBC=0.50\ \text{m}.

A right-angled triangle diagram. Vertex A is labelled $+4.0\ \mu\text{C}$, vertex B is labelled $+2.0\ \mu\text{C}$ and vertex C is labelled $-3.0\ \mu\text{C}$. The side lengths $AB=0.30\ \text{m}$, $AC=0.40\ \text{m}$ and $BC=0.50\ \text{m}$ are shown. No force arrows or energy values are shown.
A

The electric potential energy of the system is to be determined.

I.

State why electric potential energies of the three pairs can be added algebraically.

[1]
Write your answer here...
II.

Calculate the total electric potential energy of the three-charge system.

[3]
Write your answer here...
III.

Interpret the sign of your answer to (a)(ii).

[1]
Write your answer here...
B

Discuss why using electric potential energy can be more convenient than using forces for this three-charge system.

[3]
Write your answer here...

0

Question 45
HL • Paper 2
Hard
Calculator Permitted

Two fixed point charges lie on a straight line. Charge Q1=+6.0 μCQ_1=+6.0\ \mu\text{C} is at x=0x=0 and charge Q2=āˆ’2.0 μCQ_2=-2.0\ \mu\text{C} is at x=0.40Ā mx=0.40\ \text{m}. Point PP lies on the line between the two charges.

A horizontal x-axis line with $Q_1=+6.0\ \mu\text{C}$ at the left labelled $x=0$, $Q_2=-2.0\ \mu\text{C}$ to the right labelled $x=0.40\ \text{m}$, and a movable point P between them. No field or potential arrows are drawn.
A

Electric potential along the line is considered.

I.

State why electric potential at a point due to the two charges is found by algebraic addition.

[1]
Write your answer here...
II.

Determine the position between the charges where the electric potential is zero.

[3]
Write your answer here...
B

Evaluate the claim: ā€œAt the point where the electric potential is zero, the electric field strength must also be zero.ā€

[3]
Write your answer here...

0

Question 46
HL • Paper 2
Hard
Calculator Permitted

The graph shows the variation of electric potential VeV_e with position xx along a line between two large parallel plates. Edge effects are negligible.

Electric potential varies linearly with position between parallel plates.
A

Information is obtained from the potential-position graph.

I.

Explain why the electric field between the plates is uniform.

[2]
Write your answer here...
II.

Determine the magnitude and direction of the electric field if the potential decreases by 120Ā V120\ \text{V} over 4.0Ā cm4.0\ \text{cm}.

[3]
Write your answer here...
B

An electron is released from rest near the lower-potential plate. Discuss the changes to the electron's electric potential energy and kinetic energy as it moves.

[3]
Write your answer here...

0

Question 47
HL • Paper 2
Hard
Calculator Permitted

A conducting-paper experiment is used to map the equipotentials between two long, oppositely charged parallel electrodes. The electrodes are separated by 5.0Ā cm5.0\ \text{cm} and connected to a 10.0Ā V10.0\ \text{V} supply.

A top-view diagram of conducting paper with two long parallel straight electrodes separated by a labelled distance of $5.0\ \text{cm}$. The left electrode is labelled $+10.0\ \text{V}$ and the right electrode is labelled $0\ \text{V}$. Several blank points are available between the electrodes for plotting equipotentials, but no equipotential or field lines are drawn.
A

The central region between the electrodes is assumed to be uniform.

I.

Determine the electric field strength in the central region.

[2]
Write your answer here...
II.

On the diagram, draw the 6.0Ā V6.0\ \text{V} equipotential line in the central region.

[2]
Write your answer here...
III.

State the angle between electric field lines and equipotential lines.

[1]
Write your answer here...
B

Evaluate why the measured equipotentials near the ends of the electrodes may not be equally spaced straight lines.

[3]
Write your answer here...

0

Question 48
HL • Paper 2
Hard
Calculator Permitted

Four identical point charges are fixed at the corners of a square of side 0.20Ā m0.20\ \text{m}. The two charges on the left are +Q+Q and the two charges on the right are āˆ’Q-Q, where Q=2.0 μCQ=2.0\ \mu\text{C}. Point O is at the centre of the square.

A square with side length labelled $0.20\ \text{m}$. The two left-hand corners are labelled $+Q$ and the two right-hand corners are labelled $-Q$. The centre of the square is marked O. A vertical line through O and a horizontal line through O are lightly shown as symmetry axes. No field arrows or equipotentials are drawn.
A

The potential and field at O are considered.

I.

Deduce the electric potential at O.

[2]
Write your answer here...
II.

Discuss whether the electric field strength at O is zero.

[3]
Write your answer here...
B

student sketches equipotential lines for the arrangement and draws one equipotential line crossing another. Evaluate the student's sketch.

[3]
Write your answer here...

0


D.1 Gravitational fields

D.3 Motion in electromagnetic fields