$100$ capacitors each having a capacity of $10\,\mu F$ are connected in parallel and are charged by a potential difference of $100\,kV$. The energy stored in the capacitors and the cost of charging them, if electrical energy costs $108\;paise\;per\;kWh$, will be
${10^7}\;joule$ and $300\;paise$
$5 \times {10^6}joule$ and $300\;paise$
$5 \times {10^6}joule$ and $150\;paise$
${10^7}\,joule$ and $150\;paise$
Two capacitors of capacitances $C$ and $2\, C$ are charged to potential differences $V$ and $2\, V$, respectively. These are then connected in parallel in such a manner that the positive terminal of one is connected to the negative terminal of the other. The final energy of this configuration is$.....CV^2$
A $700\,pF$ capacitor is charged by a $50\,V$ battery. The electrostatic energy stored by it is
The energy density $u$ is plotted against the distance $r$ from the centre of a spherical charge distribution on a $log$-$log$ scale. The slope of obtianed straight line is :
Write three different formulas of energy stored in capacitor.
Charge $'q'$ on a capacitor varies with voltage $'V'$ as shown. The area of $\Delta OPM$ represents