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:
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:
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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.
Updated On: Jun 3, 2025
- 480 $\mu$C
- 360 $\mu$C
- 120 $\mu$C
- 240 $\mu$C
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The Correct Option is D
Solution and Explanation
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.
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.
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