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A Level · A2 · multiple choice

A Level extension · Question 4

A Level extension · Original GioPhysics question with a detailed, mark-by-mark answer guide.

Demand
demanding
Marks
1
Topics
1
Answer
Complete
multiple choice1 mark

A capacitor of capacitance 470 μF, charged to a potential difference V₀, is discharged through a resistor of resistance 22 kΩ. After what time has the charge on the capacitor fallen to 25% of its initial value?

  1. A

    3.6 s

  2. B

    7.2 s

  3. C

    14 s

  4. D

    21 s

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Answer overviewCorrect answer: C — 14 s
01

Answer and reasoning

1 mark
How to approach it

Predict from the governing principle before looking for a matching option. Then reject alternatives by checking direction, units, limiting behaviour or the physical meaning of each statement.

  1. 1

    The correct choice is C: 14 s

  2. 2

    D is two time constants, which is the answer of a candidate who assumes the charge falls to 1/e² rather than to a quarter. The time constant is 10.3 s and t = RC ln 4 = 14.3 s.

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