$A$ $10\, \mu F$ capacitor is charged to $500\, V$ and then its plates are joined together through a resistance of $10\, \Omega$. The heat produced in the resistance is ........ $J$.

$A$ parallel plate air capacitor has a uniform electric field $E$ in the space between the plates. The area of each plate is $A$ and the distance between the plates is $d$. The energy stored in the capacitor is $[\varepsilon_0 = \text{permittivity of free space}]$

The charge $Q$ on a capacitor varies with voltage $V$ as shown in the figure,where $Q$ is taken along the $X$-axis and $V$ along the $Y$-axis. The area of triangle $OAB$ represents

$A$ $12\,pF$ capacitor is connected to a $50\,V$ battery. How much electrostatic energy is stored in the capacitor?

$A$ $40 \, \mu F$ capacitor in a defibrillator is charged to $3000 \, V$. The energy stored in the capacitor is sent through the patient during a pulse of duration $2 \, ms$. The power delivered to the patient is ...... $kW$.

Consider a parallel plate capacitor of area $A$ (of each plate) and separation $d$ between the plates. If $E$ is the electric field and $\varepsilon_0$ is the permittivity of free space between the plates,then the potential energy stored in the capacitor is $:-$