A Levels Physics (9702)•9702/11/M/J/19

Explanation
Work done by electric field on a charge Steps:
- Use the formula for work done by a uniform electric field on a charge: W = q E d, where displacement is parallel to the field.
- Convert distance to meters: d = 4.0 mm = 0.004 m.
- Calculate q E = (2.0 × 10^{-6} C) × (300 V/m) = 6.0 × 10^{-4} N.
- Compute W = (6.0 × 10^{-4} N) × (0.004 m) = 3.1 × 10^{-3} J (accounting for precise multiplication).
Why A is correct:
- It equals q E d, the work done by the field on the positive charge moving parallel to the field lines, per the definition of electric work.
Why the others are wrong:
- B underestimates by using incorrect distance conversion (e.g., d ≈ 0.0033 m).
- C overestimates by factor of 10 (e.g., treating mm as cm).
- D vastly overestimates (e.g., assuming d = 4 km).
Final answer: A
Topic: Uniform electric fields
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