A Level H1 Physics Electricity Magnetism Quiz

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A-Level Physics H1 Quiz - Electricity Magnetism

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

Duration: 50 minutes
Total Marks: 40

Instructions:

• Answer all 20 questions.
• Show your working clearly where calculation is required.
• Use the spaces provided.
• Section A: Short Answer (1–7), Section B: Structured Calculation (8–14), Section C: Interpretation & Reasoning (15–20).

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Section A: Short Answer (1–7)

1. State what is meant by the electromotive force (e.m.f.) of a battery. [2]

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2. A copper wire carries a current of 3.0 A. The charge of an electron is $1.6 \times 10^{-19}$ C. Define drift velocity $v_d$ and write the equation linking current $I$, number density $n$, cross-sectional area $A$, and $v_d$. [2]

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3. Two parallel wires carry currents in the same direction. State the direction of the force between them. [1]

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4. Write the equation for the magnetic force on a straight conductor of length $l$ carrying current $I$ perpendicular to a magnetic field of flux density $B$. [1]

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5. A resistor has an I–V graph that is a straight line through the origin. State the term used to describe this resistor. [1]

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6. A battery of e.m.f. 6.0 V has internal resistance 1.0 Ω. State the terminal voltage when no external current flows. [1]

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7. In a potential divider, two resistors $R_1 = 2.0\ \Omega$ and $R_2 = 3.0\ \Omega$ are connected in series across 10 V. State the p.d. across $R_2$. [2]

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Section B: Structured Calculation (8–14)

8. A battery of e.m.f. 12.0 V and internal resistance 2.0 Ω is connected to a 10.0 Ω resistor.
(a) Calculate the current in the circuit. [2]
(b) Calculate the terminal voltage of the battery. [2]

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9. A wire has number density of free electrons $n = 8.5 \times 10^{28}\ m^{-3}$, cross-sectional area $A = 1.0 \times 10^{-6}\ m^2$, and carries current $I = 4.0$ A. Calculate the drift velocity $v_d$. ($e = 1.6 \times 10^{-19}$ C) [3]

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10. A straight wire of length 0.20 m carries a current of 5.0 A perpendicular to a uniform magnetic field of flux density 0.30 T. Calculate the magnetic force on the wire. [2]

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11. Two resistors, 4.0 Ω and 6.0 Ω, are connected in parallel. Calculate their effective resistance. [2]

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12. A potential divider consists of $R_1 = 5.0\ \Omega$ and $R_2 = 15.0\ \Omega$ across a 12 V supply. A voltmeter is connected across $R_2$. Calculate the voltmeter reading. [3]

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13. A charge of $2.0 \times 10^{-6}$ C moves at $4.0 \times 10^{3}$ m/s perpendicular to a magnetic field of 0.50 T. Calculate the magnetic force on the charge. [2]

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14. A battery of e.m.f. 9.0 V and internal resistance 1.5 Ω supplies a current of 0.50 A to a load. Calculate the power dissipated in the internal resistance. [3]

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Section C: Interpretation & Reasoning (15–20)

15.

Image pending generation: graph for Q15.

Describe how the resistance of the filament lamp changes as the p.d. increases from 0 to 6 V, using the graph. [3]

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16.

Image pending generation: diagram for Q16.

Using Fleming's left-hand rule or magnetic interaction, explain why the two wires attract. [3]

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17. A student says: "The e.m.f. of a battery is the same as the terminal voltage when it is connected to a load." Explain why this statement is incorrect. [2]

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18.

Image pending generation: experimental_setup for Q18.

State the rule used to determine the force direction and show how it gives the upward force. [2]

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19. A 12 V battery with internal resistance 4.0 Ω is connected to a variable resistor. The maximum power transferred to the variable resistor occurs when its resistance equals the internal resistance. Calculate the maximum power delivered to the load. [4]

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20. Compare the magnetic field pattern of a long straight wire carrying current with that of a solenoid carrying the same current. [3]

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A-Level Physics H1 Quiz - Electricity Magnetism (Answer Key)

Total Marks: 40
Topic: Electricity & Magnetism (Syllabus 8867, Topics 8–10)

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Section A: Short Answer

1. [2 marks]
e.m.f. is the energy converted from chemical (or other non-electrical) form to electrical energy per unit charge.

• [B1] Definition: work done per unit charge by the source
• [B1] Reference to energy conversion (e.g. chemical → electrical)
  Teaching note: e.m.f. is not a "force"; it is measured in volts (J C⁻¹).

2. [2 marks]
Drift velocity $v_d$ is the average velocity of free electrons moving along the wire.
Equation: $I = nAev_d$ (or $I = nAv_d q$).

• [B1] correct definition
• [B1] correct equation
  Teaching note: $n$ = number density, $A$ = area, $e$ = electron charge.

3. [1 mark]
They attract.
Teaching note: Parallel currents in same direction → attractive force.

4. [1 mark]
$F = BIl$ (when perpendicular).
Teaching note: If not perpendicular, $F = BIl\sin\theta$.

5. [1 mark]
Ohmic conductor (or linear resistor).
Teaching note: Obeys Ohm's law, constant resistance.

6. [1 mark]
6.0 V.
Teaching note: No current → no internal drop, terminal = e.m.f.

7. [2 marks]
Total resistance = 5.0 Ω, current $I = 10/5 = 2.0$ A, p.d. across $R_2 = IR_2 = 2.0 \times 3.0 = 6.0$ V.
Or directly: $V_{R2} = 10 \times \frac{3.0}{5.0} = 6.0$ V.

• [B1] correct ratio method
• [B1] correct value 6.0 V

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Section B: Structured Calculation

8. [4 marks]
(a) $R_{tot} = 2.0 + 10.0 = 12.0\ \Omega$ [M1]; $I = 12.0 / 12.0 = 1.0$ A [A1].
(b) $V_{term} = E - Ir = 12.0 - (1.0)(2.0) = 10.0$ V [M1+A1].
Marking: (a) 2, (b) 2.

9. [3 marks]
$I = nAe v_d \Rightarrow v_d = \frac{I}{nAe}$ [M1]
$= \frac{4.0}{(8.5\times10^{28})(1.0\times10^{-6})(1.6\times10^{-19})}$ [M1]
$= \frac{4.0}{1.36\times10^{4}} = 2.94\times10^{-4}$ m/s [A1].
Teaching note: tiny drift speed despite fast signal.

10. [2 marks]
$F = BIl = (0.30)(5.0)(0.20) = 0.30$ N [M1+A1].

11. [2 marks]
$\frac{1}{R} = \frac{1}{4.0} + \frac{1}{6.0} = \frac{5}{12}$ [M1]; $R = 2.4\ \Omega$ [A1].

12. [3 marks]
$V_{R2} = V \times \frac{R_2}{R_1+R_2} = 12 \times \frac{15.0}{20.0}$ [M2] $= 9.0$ V [A1].

13. [2 marks]
$F = BQv = (0.50)(2.0\times10^{-6})(4.0\times10^{3})$ [M1] $= 4.0\times10^{-3}$ N [A1].

14. [3 marks]
$P = I^2 r = (0.50)^2 (1.5)$ [M2] $= 0.375$ W [A1].

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Section C: Interpretation & Reasoning

15. [3 marks]
From graph, $R = V/I$; at 2 V, $R = 8\ \Omega$; at 6 V, $R = 13.3\ \Omega$ [B1]. Resistance increases with p.d. [B1] because filament heats, lattice vibrates more, collisions increase [B1].
Teaching note: non-ohmic, graph slope decreases.

16. [3 marks]
Each wire produces circular B-field; X's field at Y is into page below X [B1]. Force on Y by Fleming left-hand: field into page, current right → force left (toward X) [B1]. Symmetrically X toward Y [B1]. Hence attract.

17. [2 marks]
Terminal voltage $V = E - Ir$ [B1]; when load connected, $I>0$, so $V < E$ [B1]. Only equal at open circuit.

18. [2 marks]
Fleming's left-hand rule [B1]; field left→right (N to S), current into page, thumb gives force up [B1].

19. [4 marks]
Max power when $R_{load} = r = 4.0\ \Omega$ [B1].
Current $I = 12/(4+4) = 1.5$ A [M1].
$P = I^2 R = (1.5)^2(4.0) = 9.0$ W [M1+A1].
Alternative: $P = E^2/(4r) = 144/16 = 9.0$ W.

20. [3 marks]
Straight wire: concentric circles around wire, strength ∝ 1/r [B1]. Solenoid: uniform inside, weak outside, like bar magnet [B1]. Both due to current; solenoid concentrates field internally [B1].