JEE Physics · Medium

Capacitance: RC Charging MCQ

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

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RC ChargingMediumQuestion 31546

Question

In an RC charging circuit with time constant τ = RC, charge after time t is:
  1. A
    Q₀(1−e^(−t/τ))
    Correct
  2. B
    Q₀e^(−t/τ)
  3. C
    Q₀t/τ
  4. D
    Q₀(1+e^(−t/τ))

Correct answer

Q₀(1−e^(−t/τ))

Explanation

During charging, Q(t) = Q₀(1 − e^{−t/RC}) where Q₀ = CE is the final charge.