A Level H1 Physics Electricity Magnetism Quiz

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A-Level Physics H1 Quiz - Electricity Magnetism

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

Duration: 60 minutes
Total Marks: 40
Topic: Electricity & Magnetism (Currents, Circuits, Electromagnetism)

Instructions:

• Answer all 20 questions.
• Show your working clearly for calculation questions.
• Use the provided space below each question.
• SI units should be used unless stated otherwise.

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Section A: Currents and Circuits (Questions 1–8)

1. A copper wire carries a current of $3.0\ \text{A}$. The charge carrier density is $8.5 \times 10^{28}\ \text{m}^{-3}$ and the cross-sectional area is $1.0 \times 10^{-6}\ \text{m}^2$. Calculate the drift velocity of electrons. (Charge of electron $e = 1.6 \times 10^{-19}\ \text{C}$) [3]

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2. State the difference between electromotive force (e.m.f.) and potential difference (p.d.). [2]

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3. A resistor has a current–voltage (I–V) characteristic that is a straight line through the origin. What can you conclude about its resistance? [1]

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4. Two resistors of $4\ \Omega$ and $6\ \Omega$ are connected in parallel. Calculate the effective resistance. [2]

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5. A potential divider consists of a $9.0\ \text{V}$ battery and two resistors $R_1 = 300\ \Omega$ and $R_2 = 600\ \Omega$ in series. Determine the output voltage across $R_2$. [2]

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6. A battery of e.m.f. $12\ \text{V}$ and internal resistance $1.0\ \Omega$ is connected to a $5.0\ \Omega$ resistor. Calculate the terminal p.d. of the battery. [3]

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7.

Image pending generation: graph for Q7.

Using the graph, determine the resistance of the lamp at $6.0\ \text{V}$. [2]

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8. Explain why the resistance of the filament lamp in Q7 increases with voltage. [2]

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Section B: Electromagnetism (Questions 9–15)

9. Sketch the magnetic field pattern around a long straight wire carrying a current upwards. Indicate the direction of the field lines. [2]

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10. A horizontal wire of length $0.20\ \text{m}$ carries a current of $5.0\ \text{A}$ perpendicular to a uniform magnetic field of $0.10\ \text{T}$. Calculate the magnetic force on the wire. [2]

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11.

Image pending generation: diagram for Q11.

Using Fleming’s left-hand rule, state the direction of the force on the wire. [1]

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12. A charged particle of charge $+2.0 \times 10^{-6}\ \text{C}$ moves at $3.0 \times 10^{3}\ \text{m s}^{-1}$ perpendicular to a magnetic field of $0.40\ \text{T}$. Calculate the magnetic force on the particle. [2]

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13. Two parallel wires X and Y carry currents in the same direction. Draw arrows on a diagram to show the forces between them. [1]

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14. A velocity selector uses perpendicular electric field $E = 2.0 \times 10^{3}\ \text{N C}^{-1}$ and magnetic field $B = 0.050\ \text{T}$. Calculate the speed of particles that pass through undeflected. [2]

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15. Explain how a velocity selector works and why only particles of a specific speed are undeflected. [3]

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Section C: Data-Based and Structured (Questions 16–20)

16.

Image pending generation: table for Q16.

Using the table, plot a graph of I against V and determine the resistance. [3]

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17. A circuit contains a $12\ \text{V}$ battery, internal resistance $0.5\ \Omega$, and two external resistors $2.0\ \Omega$ and $4.0\ \Omega$ in parallel. Calculate the current from the battery. [4]

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18. A solenoid has $n = 500$ turns per metre and carries current $2.0\ \text{A}$. Using $\mu_0 = 4\pi \times 10^{-7}\ \text{T m A}^{-1}$, calculate the magnetic field inside. [2]

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19. Describe the magnetic field pattern inside a current-carrying solenoid and compare it with a bar magnet. [3]

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20. A wire of length $0.50\ \text{m}$ in a $0.30\ \text{T}$ field carries $2.0\ \text{A}$ at $30^\circ$ to the field. Calculate the force and state the direction relative to the wire and field. [3]

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A-Level Physics H1 Quiz - Electricity Magnetism (Answers)

Total Marks: 40

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Section A: Answers 1–8

Q1. [3 marks]
Formula: $I = nAve$
$v = \dfrac{I}{nAe} = \dfrac{3.0}{(8.5\times10^{28})(1.0\times10^{-6})(1.6\times10^{-19})}$
$v = \dfrac{3.0}{1.36\times10^{4}} = 2.21\times10^{-4}\ \text{m s}^{-1}$
Mark breakdown: M1 formula, M1 substitution, A1 answer $2.2\times10^{-4}\ \text{m s}^{-1}$.
Teaching: Drift velocity is slow because electron density is huge. Common mistake: wrong power of 10.

Q2. [2 marks]
e.m.f. is the energy per unit charge supplied by a source (e.g. battery) [B1]. p.d. is the energy per unit charge converted to other forms across a component [B1].
Teaching: e.m.f. drives current; p.d. is drop across load.

Q3. [1 mark]
Resistance is constant (ohmic). [1]
Teaching: Straight line through origin means $V \propto I$, so $R = V/I$ constant.

Q4. [2 marks]
$\dfrac{1}{R} = \dfrac{1}{4} + \dfrac{1}{6} = \dfrac{5}{12} \Rightarrow R = 2.4\ \Omega$ [M1, A1]
Teaching: Parallel resistors reduce total resistance.

Q5. [2 marks]
$V_{out} = 9.0 \times \dfrac{600}{300+600} = 6.0\ \text{V}$ [M1, A1]
Teaching: Potential divider splits voltage in ratio of resistances.

Q6. [3 marks]
$I = \dfrac{12}{1.0+5.0} = 2.0\ \text{A}$ [M1]
Terminal p.d. $= IR = 2.0 \times 5.0 = 10.0\ \text{V}$ [M1, A1]
Teaching: Internal resistance causes loss $Ir = 2.0\ \text{V}$.

Q7. [2 marks]
$R = \dfrac{V}{I} = \dfrac{6.0}{0.50} = 12\ \Omega$ [M1, A1]
Teaching: Read from graph at given point.

Q8. [2 marks]
As voltage rises, temperature of filament increases [B1], causing lattice ion vibration increasing collisions with electrons, raising resistance [B1].
Teaching: Non-ohmic due to heating.

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Section B: Answers 9–15

Q9. [2 marks]
Concentric circles around wire [B1]; direction given by right-hand grip rule (anticlockwise viewed from top) [B1].
Teaching: Current up → field anticlockwise.

Q10. [2 marks]
$F = BIL = 0.10 \times 5.0 \times 0.20 = 0.10\ \text{N}$ [M1, A1]
Teaching: Max force when perpendicular.

Q11. [1 mark]
Force is upwards (out of page plane, using FLHR: Field into page, Current right → Force up). [1]

Q12. [2 marks]
$F = BQv = 0.40 \times 2.0\times10^{-6} \times 3.0\times10^{3} = 2.4\times10^{-3}\ \text{N}$ [M1, A1]

Q13. [1 mark]
Arrows showing attraction (towards each other). [1]

Q14. [2 marks]
$v = \dfrac{E}{B} = \dfrac{2.0\times10^{3}}{0.050} = 4.0\times10^{4}\ \text{m s}^{-1}$ [M1, A1]

Q15. [3 marks]
Electric force $qE$ and magnetic force $Bqv$ oppose [B1]. For undeflected, $qE = Bqv$ so $v = E/B$ [B1]. Only this speed balances both [B1].

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Section C: Answers 16–20

Q16. [3 marks]
Graph: I vs V straight line [B1]; slope = 0.20 A/V so $R = 1/0.20 = 5.0\ \Omega$ [M1, A1].

Q17. [4 marks]
Parallel $R_{ext} = \dfrac{2\times4}{2+4} = 1.33\ \Omega$ [M1]
Total $R = 1.33 + 0.5 = 1.83\ \Omega$ [M1]
$I = 12 / 1.83 = 6.55\ \text{A}$ [A1]
Teaching: Show parallel then add internal. [A1 for method]

Q18. [2 marks]
$B = \mu_0 n I = 4\pi\times10^{-7} \times 500 \times 2.0 = 1.26\times10^{-3}\ \text{T}$ [M1, A1]

Q19. [3 marks]
Uniform field inside solenoid [B1]; like bar magnet with N and S ends [B1]; outside weak, inside strong parallel lines [B1].

Q20. [3 marks]
$F = BIL\sin30^\circ = 0.30 \times 2.0 \times 0.50 \times 0.5 = 0.15\ \text{N}$ [M1, A1]
Direction perpendicular to both wire and field by FLHR [B1].