Question

If five parallel plate capacitors are connected to the battery of 240 V as shown in the figure, the charge on 1$\mu$F capacitor is:

• A. 480 $\mu$C
• B. 360 $\mu$C
• C. 120 $\mu$C
• D. 240 $\mu$C

Hint:

In a parallel capacitor circuit, each capacitor gets the same voltage as the battery. Use $Q = C V$ to find the charge on a specific capacitor.

Answer 1

The Correct Option is D

The capacitors are in parallel with the battery, so each capacitor has the same voltage, $V = 240$ V.
Capacitances: 2 $\mu$F, 5 $\mu$F, 4 $\mu$F, 1 $\mu$F, 12 $\mu$F.
For the 1 $\mu$F capacitor, charge $Q = C V = 1 \times 10^{-6} \times 240 = 240 \times 10^{-6}$ C = 240 $\mu$C.
In parallel, the voltage across each capacitor is the same as the battery voltage, so no need to calculate equivalent capacitance for this part.