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........$J$

How much work is required to carry a $6$ $\mu C$ charge from the negative terminal to the positive terminal of a $9\, V$ battery

Two condensers, one of capacity $C$ and other of capacity $C/2$ are connected to a $V-$ volt battery, as shown in the figure. The work done in charging fully both the condensers is

A capacitor of capacitance $900\,\mu F$ is charged by a $100\,V$ battery. The capacitor is disconnected from the battery and connected to another uncharged identical capacitor such that one plate of uncharged capacitor connected to positive plate and another plate of uncharged capacitor connected to negative plate of the charged capacitor. The loss of energy in this process is measured as $x \times 10^{-2}\,J$. The value of $x$ is $..............$

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

If there are $n$ capacitors in parallel connected to $V$ volt source, then the energy stored is equal to