Two identical conducting spheres $A$ and $B$ carry an equal charges. They are separated by a distance much larger than their diameters, and the force between them is $F$. A third identical conducting sphere, $C$, is uncharged. Sphere $C$ is first touched to $A$, then to $B$, and then removed. As a result, the force between $A$ and $B$ would be equal to:

Two capacitors of equal capacitance $\left(C_1=C_2\right)$ are shown in the figure. Initially, while the switch $S$ is open, one of the capacitors is uncharged and the other carries charge $Q_0.$ The energy stored in the charged capacitor is $U_0$. Sometimes after the switch is closed, the capacitors $C_1$ and $C_2$ carry charges $Q_1$ and $Q_2$, respectively, the voltage across the capacitors are $V_1$ and $V_2,$ and the energies stored in the capacitors are $U_1$ and $U_2.$ Which of the following statements is incorrect?

The potential differences that must be applied across the parallel and series combination of $3$ identical capacitors is such that the energy stored in them becomes the same. The ratio of potential difference in parallel to series combination is

In the circuit given below, the capacitor $C$ is charged by closing the switch $S_1$ and opening the switch $S_2$. After charging, the switch $S_1$ is opened and $S_2$ is closed, then the maximum current in the circuit