Question

In the circuit shown, the potential difference across the 4.5 µF capacitor is ______.

Options

• 6 volt

• `8/3`volt

• 4 volt

• 8 volt

Answer 1

In the circuit shown, the potential difference across the 4.5 µF capacitor is 8 volt.

Explanation:

3µF and 6µF capacitors are in parallel.

Their equivalent capacitance is given by

C₁ = 3 + 6 = 9 µF

4.5 µF and 9 µF capacitors are in series.

For series combination, the charge on the capacitors is the same.

∴ C₁V₁ = C₂V₂

∴ 9V₁ = 4.5 V₂

∴ V₂ = 2V₁

Also V₁ + V₂ = 12 V

V₁ + 2V₂ = 12

3V₁ = 12

V₁ = 4 V

∴ V₂ = 8 V