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Question: Answered & Verified by Expert
As in figure shown, if a capacitor $C$ is charged by connecting it with resistance $R$, then energy is given by the battery will be

PhysicsCapacitanceJEE Main
Options:
  • A $\frac{1}{2} C V^2$
  • B More than $\frac{1}{2} \mathrm{CV}^2$
  • C Less than $\frac{1}{2} \mathrm{CV}^2$
  • D Zero
Solution:
1400 Upvotes Verified Answer
The correct answer is: Less than $\frac{1}{2} \mathrm{CV}^2$
The maximum stared by the capacitor is given by,
\(\mathrm{u}_{\max }=\frac{1}{2} \mathrm{CV}^2\)
But when capacitor is charging with a resistor attached to it, a little extra energy will be required than \(u_{\max }\) to full charge the capacitor because resister is providing a resistance which make less in energy in form of heat.

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