Question

Assertion :When an uncharged capacitor is charged by a battery only 50% of the energy supplied by a battery is stored in the capacitor. Reason: Rest 50% is lost.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

Energy supplied by the battery is $W=\Delta qV=\left(CV\right)V=C{V}^2$ and
Energy stored in the capacitor is $U=\frac{1}{2}C{V}^2$
Energy loss $=\frac{W-U}{W}\times 100\%=\frac{C{V}^2-\left(1/2\right)C{V}^2}{C{V}^2}\times 100\%=50\%$