Question 394: Electrostatics & Capacitance

Question

A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the battery will be

Accepted Answer

Required ratio
$$ = {{Energy\,\,\,stored\,\,in\,\,capacitor} \over {Workdone\,\,by\,\,the\,\,battery}} = {{{1 \over 2}C{V^2}} \over {C{e^2}}}$$
where $$C=$$ Capacitance of capacitor
$$V=$$ Potential difference,
$$e=$$ $$emf$$ of battery
$$ = {{{1 \over 2}C{e^2}} \over {C{e^2}}} = {1 \over 2}$$
$$\left( \, \right.$$ as  $$V=e$$ $$\left. \, \right)$$

Answer

$$1/2$$

Answer

$$1$$

Answer

$$2$$

Answer

$$1/4$$

Electrostatics & Capacitance

A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the battery will be

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