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Question: A 20µF capacitor is charged by a constant current of 10 mA. If the capacitor is initially uncharged ...

A 20µF capacitor is charged by a constant current of 10 mA. If the capacitor is initially uncharged how much time does it take for the potential difference across the capacitor to reach 300 V.

A

0.6 sec

B

0.8 sec

C

1 sec

D

0.4 sec

Answer

0.6 sec

Explanation

Solution

I = qt\frac{q}{t} = CVt\frac{CV}{t} V = ItC\frac{It}{C} = 10×10–3×t20×10–6\frac{10 \times 10^{–3} \times t}{20 \times 10^{–6}}

t = 300×20×10–610×10–3\frac{300 \times 20 \times 10^{–6}}{10 \times 10^{–3}} = 600 × 10–3 = 0.6 sec