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 :

A capacitor is charged to $200\, volt$ it has $0.1$ coulomb charge. When it is discharged, energy will be.....$J$

If the potential of a capacitor having capacity of $6\,\mu F$ is increased from $10\, V$ to $20\, V$, then increase in its energy will be

A capacitor $4\,\mu F$ charged to $50\, V$ is connected to another capacitor of $2\,\mu F$ charged to $100 \,V$ with plates of like charges connected together. The total energy before and after connection in multiples of $({10^{ - 2}}\,J)$ is

In the circuit shown in figure, four capacitors are connected to a battery. The maximum energy is stored in the capacitor of.....$\mu F$

A $5.0\, \mu F$ capacitor is charged to a potential difference $800\, V$ and discharged through a conductor. The energy(in $J$) given to a conductor during the discharge is