JEE Physics · Easy

Capacitance: Time Constant MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Time ConstantEasyQuestion 31548

Question

After one time constant τ = RC, a charging capacitor reaches what fraction of final charge?
  1. A
    0.37
  2. B
    0.50
  3. C
    0.63
    Correct
  4. D
    0.99

Correct answer

0.63

Explanation

Q(τ)/Q₀ = 1 − e^{−1} = 1 − 0.368 ≈ 0.632 or about 63%.