A Level H2 Physics Electricity Magnetism Quiz

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A-Level Physics H2 Quiz - Electricity Magnetism

Name: ___________________________
Class: ___________________________
Date: ___________________________
Score: _______ / 40

Duration: 60 minutes
Total Marks: 40
Topic: Electricity & Magnetism

Instructions:

• Answer all 20 questions.
• Show your working clearly where calculations are required.
• Use the provided answer spaces.
• Units must be included in final numerical answers.

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Section A: Electric Fields and Potential (Questions 1–5)

1. State Coulomb’s law for the force between two point charges. [2]

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2. Two point charges $Q_1 = +4.0\ \text{nC}$ and $Q_2 = -2.0\ \text{nC}$ are separated by a distance of $0.30\ \text{m}$ in vacuum. Calculate the magnitude of the electrostatic force between them.
($\varepsilon_0 = 8.85 \times 10^{-12}\ \text{F m}^{-1}$) [3]

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3. Define electric field strength at a point. [1]

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4. An electron is placed at a point where the electric potential is $+12\ \text{V}$. Calculate its electric potential energy at that point.
($e = 1.60 \times 10^{-19}\ \text{C}$) [2]

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5. Sketch the electric field pattern between a positive point charge and a negative point charge placed $5\ \text{cm}$ apart.

Image pending generation: diagram for Q5.

Label the direction of the field lines. [2]

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Section B: Circuits and Components (Questions 6–10)

6. State the relationship between current, charge and time. [1]

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7. A resistor of $6.0\ \Omega$ is connected in series with a $3.0\ \Omega$ resistor across a $9.0\ \text{V}$ battery. Calculate the current in the circuit. [2]

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8. The circuit below contains a battery, a switch, an ammeter, a lamp, and a rheostat connected as a potential divider.

Image pending generation: circuit for Q8.

State how the rheostat should be adjusted to increase the brightness of the lamp. [2]

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9. A capacitor of capacitance $220\ \mu\text{F}$ is charged through a $10\ \text{k}\Omega$ resistor from a $6.0\ \text{V}$ supply. Calculate the time constant of the circuit. [2]

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10. Explain why the ammeter must be connected in series and the voltmeter in parallel in a circuit. [2]

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Section C: Magnetism and Induction (Questions 11–15)

11. State the direction of the magnetic field produced by a straight wire carrying current upwards, at a point to the east of the wire. [1]

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12. A proton moves horizontally to the north in a uniform magnetic field directed vertically downwards. State the direction of the magnetic force on the proton. [2]

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13. A straight wire of length $0.50\ \text{m}$ carries a current of $3.0\ \text{A}$ perpendicular to a magnetic field of flux density $0.20\ \text{T}$. Calculate the magnetic force on the wire. [2]

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14. The diagram shows a rectangular coil rotating in a uniform magnetic field.

Image pending generation: diagram for Q14.

State Faraday’s law of electromagnetic induction. [2]

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15. A transformer has 200 turns on the primary and 600 turns on the secondary. The primary is connected to $230\ \text{V}$ a.c. Assuming ideal operation, calculate the secondary voltage. [2]

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Section D: Data Interpretation and Synthesis (Questions 16–20)

16. The table below shows current $I$ through a resistor for different potential differences $V$.

$V$ (V)	2.0	4.0	6.0	8.0	10.0
$I$ (A)	0.40	0.80	1.20	1.60	2.00

Plot a graph of $I$ against $V$ and determine the resistance from the gradient. [4]

Image pending generation: graph for Q16.

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17. A charged particle of mass $m$ and charge $q$ enters a uniform magnetic field $B$ perpendicularly with speed $v$. Derive an expression for the radius $r$ of its circular path. [3]

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18. Explain how electromagnetic induction is used in a bicycle dynamo to produce electricity. [3]

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19. A parallel-plate capacitor has plate area $A$ and separation $d$. Show that its capacitance is given by $C = \frac{\varepsilon_0 A}{d}$. [2]

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20. A student connects a diode and a resistor in series with an a.c. supply. Sketch the output voltage across the resistor over one cycle.

Image pending generation: graph for Q20.

Label the axes and indicate the rectified portions. [3]

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A-Level Physics H2 Quiz - Electricity Magnetism (Answers)

Total Marks: 40
Topic: Electricity & Magnetism

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Section A: Electric Fields and Potential

Q1. [2 marks]
Coulomb’s law: The force $F$ between two point charges $Q_1$ and $Q_2$ is directly proportional to the product of the charges and inversely proportional to the square of the distance $r$ between them:
$F = \frac{Q_1 Q_2}{4\pi\varepsilon_0 r^2}$
Marking: 1 mark for proportionality statement, 1 mark for inverse-square / formula.
Teaching note: This is the electric analogue of Newton’s gravitation law but can be attractive or repulsive.

Q2. [3 marks]
$F = \frac{Q_1 Q_2}{4\pi\varepsilon_0 r^2}$
$= \frac{(4.0\times10^{-9})(2.0\times10^{-9})}{4\pi(8.85\times10^{-12})(0.30)^2}$
$= \frac{8.0\times10^{-18}}{4\pi(8.85\times10^{-12})(0.09)}$
$= \frac{8.0\times10^{-18}}{1.00\times10^{-11}} = 8.0\times10^{-7}\ \text{N}$
Marking: 1 formula, 1 substitution, 1 answer with unit.
Common mistake: Forgetting to convert nC to C.

Q3. [1 mark]
Electric field strength is the force per unit positive charge at a point: $E = F/q$.
Teaching note: It is a vector pointing in direction of force on + charge.

Q4. [2 marks]
$U = qV = (-1.60\times10^{-19})(12) = -1.92\times10^{-18}\ \text{J}$
Marking: 1 formula, 1 answer with sign and unit.
Note: Electron charge is negative, so energy is negative relative to zero at infinity.

Q5. [2 marks]
Field lines from +Q to –Q, curved, labelled with arrows toward negative.
Marking: 1 for correct pattern, 1 for direction arrows.
Expected visual: Perpendicular start/end, no crossing.

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Section B: Circuits and Components

Q6. [1 mark]
$I = Q/t$ (current = charge / time).

Q7. [2 marks]
$R_{\text{total}} = 6.0 + 3.0 = 9.0\ \Omega$
$I = V/R = 9.0 / 9.0 = 1.0\ \text{A}$
Marking: 1 for series total, 1 for current.

Q8. [2 marks]
Adjust slider so resistance in lamp branch decreases (or rheostat portion in series with lamp reduced), increasing current.
Marking: 1 for adjustment direction, 1 for reasoning (more current → brighter).

Q9. [2 marks]
$\tau = RC = (10\times10^3)(220\times10^{-6}) = 2.2\ \text{s}$
Marking: 1 conversion, 1 answer.

Q10. [2 marks]
Ammeter low resistance → series to measure current without altering it; voltmeter high resistance → parallel to measure p.d. without drawing current.
Marking: 1 each.

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Section C: Magnetism and Induction

Q11. [1 mark]
West (using right-hand grip rule: thumb up = current, fingers curl west on east side).

Q12. [2 marks]
Using Fleming’s left-hand rule: force is to the east.
Marking: 1 rule, 1 direction.

Q13. [2 marks]
$F = BIL = (0.20)(3.0)(0.50) = 0.30\ \text{N}$
Marking: 1 formula, 1 answer.

Q14. [2 marks]
Faraday’s law: induced e.m.f. is proportional to rate of change of magnetic flux linkage: $\mathcal{E} = -N \frac{d\Phi}{dt}$.
Marking: 1 statement, 1 negative sign / flux linkage.

Q15. [2 marks]
$V_s = V_p (N_s/N_p) = 230 \times (600/200) = 690\ \text{V}$
Marking: 1 ratio, 1 answer.

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Section D: Data Interpretation and Synthesis

Q16. [4 marks]
Graph: straight line through origin. Gradient = ΔI/ΔV = 2.0/10.0 = 0.20 A V⁻¹.
$R = 1/\text{gradient} = 5.0\ \Omega$.
Marking: 1 plot, 1 gradient, 1 inverse, 1 unit.
Expected visual: Points on line, axes labelled.

Q17. [3 marks]
Magnetic force provides centripetal: $qvB = mv^2/r$ → $r = mv/(qB)$.
Marking: 1 force equality, 1 rearrange, 1 final.

Q18. [3 marks]
Dynamo: coil rotates in magnetic field → flux changes → e.m.f. induced (Faraday). Permanent magnet provides B, rotation by wheel.
Marking: 1 rotation, 1 flux change, 1 induction.

Q19. [2 marks]
$C = Q/V$, $E = V/d$, $Q = \sigma A = \varepsilon_0 E A$ → $C = \varepsilon_0 A / d$.
Marking: 1 relation, 1 substitution.

Q20. [3 marks]
Output: positive half-cycles only, zero in negative half. Axes labelled V_out, time.
Marking: 1 shape, 1 labels, 1 rectified indication.
Expected visual: Half-wave rectified sine.