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MHT CET2008PhysicsCapacitance

A 20 F capacitor is connected to 45 ~V battery through a circuit whose resistance is 2000 . What is the final charge on the capacitor?

Options

  1. A9 10⁻⁴ C
  2. B9.154 10⁻⁴ C
  3. C9.8 10⁻⁴ C
  4. DNone of these

Correct answer

A. 9 10⁻⁴ C

Step-by-step solution

We know that in steady state the capacitor behaves like as an open circuit i.e., capacitor will not pass the current. So, the potential difference across the capacitor =45 ~V Hence, the final charge on the capacitor is q=C V Here, C=20 F , V=45 ~V q=20 10⁻⁶ 45 or q=900 10⁻⁶ Or q=9 10⁻⁴ C

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