A parallel plate capacitor has circular plates of $10\, cm$ radius separated by an air-gap of $1\, mm$. It is charged by connecting the plates to a $100\, volt$ battery. Then the change in energy stored in the capacitor when the plates are moved to a distance of $1\, cm$ and the plates are maintained in connection with the battery, is

The separation between the plates of a isolated charged parallel plate capacitor is increased. Which of the following quantities will change?

A battery does $200 \,J$ of work in charging a capacitor. The energy stored in the capacitor is ......... $J$

In the figure shown, after the switch $‘S’$ is turned from position $‘A’$ to position $‘B’$, the energy dissipated in the circuit in terms of capacitance $‘C’$ and total charge $‘Q’$ is

A sphere of radius $1\,cm$ has potential of $8000\,V$, then energy density near its surface will be

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