MCQ
An uncharged capacitor is connected to a battery. While charging the capacitor, how much is the energy lost, from the energy supplied by the battery?
- ✓
- B
- C
- D
✓
Answer
Correct option: A.
(a) : Let the capacitance of the capacitor is ${ }^{\circ} C$ ' and the emf of the battery is $V$.
Then, eharge given to the capacitor is $Q=C V$.
Work done by the battery is, $W=Q V$. i.e., the battery supplies this energy.
Energy stored in capacitor, $U=\frac{1}{2} CV ^2=\frac{1}{2} QV$.
Remaining energy $=Q V-\frac{1}{2} Q V=\frac{1}{2} Q V$ i.e.,
$50 \%$ amount of energy is lost.
Then, eharge given to the capacitor is $Q=C V$.
Work done by the battery is, $W=Q V$. i.e., the battery supplies this energy.
Energy stored in capacitor, $U=\frac{1}{2} CV ^2=\frac{1}{2} QV$.
Remaining energy $=Q V-\frac{1}{2} Q V=\frac{1}{2} Q V$ i.e.,
$50 \%$ amount of energy is lost.
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