Two identical conducting very large plates $P_1$ and $P_2$ having charges $+4Q$ and $+6 Q$ are placed very closed to each other at separation $d$. The plate area of either face of the plate is $A$. The potential difference between plates $P_1$ and $P_2$ is

In the above question, if plates $P_1$ and $P_2$ are connected by a thin conducting wire, then the amount of heat produced will be

Find equivalent capacitance between $X$ and $Y$ if each capacitor is $4 \mathrm{\mu F}$.

In the given circuit, if point $C$ is connected to the earth and a potential of $+2000 \mathrm{V}$ is given to the point $A,$ the potential at $B$ is

The figure shows a capacitor of capacitance $\mathrm{C}$ connected to a battery via a switch, having a total charge ${\mathrm{Q}}_0$ on it, in steady-state. When the switch $\mathrm{S}$ is turned from position $\mathrm{A}$ to position $\mathrm{B}$, the energy dissipated in the circuit is

The diagram shows the arrangement of three small uniformly charged spheres $A$, $B$ and $C$. The arrows indicate the direction of the electrostatic forces acting between the spheres (for example, the left arrow on sphere $A$ indicates the electrostatic force on sphere $A$ due to sphere $B$). At least two of the spheres are positively charged. Which sphere, if any, could be negatively charged?