A test charge $\text{'}q\text{'}$ is moved without acceleration from $A$ to $C$ along the path from $A$ to $B$ and then from $B$ to $C$ in electric field $E$ as shown in the figure below. Calculate the potential difference between $A$ and $C$.

A test charge $\text{'}q\text{'}$ is moved without acceleration from $A$ to $C$ along the path from $A$ to $B$ and then from $B$ to $C$ in electric field $E$ as shown in the figure below. At which point (of the two) is the electric potential more and why?

Find the P.E. associated with a charge$\text{'}q\text{'}$ if it were present at the point $P$ with respect to the 'set-up' of two charged spheres, arranged as shown in figure below. Here $O$ is the mid-point of the line $O_1{O}_2$.

A sheet of aluminium foil of negligible thickness is placed between the plates of a capacitor, as shown in figure below. What effect has it on the capacitance if the foil is electrically insulated.

A sheet of aluminium foil of negligible thickness is placed between the plates of a capacitor, as shown in figure below. What effect has it on the capacitance if the foil is connected to the upper plate with a conducting wire?

The graph below shows the variation of voltage$V$ across the plates of two capacitors $A$ and $B$ versus increase of charge $Q$ stored on them. Which of the capacitors has higher capacitance? Give reason for your answer.

The given graph shows the variation of charge $q$ versus potential difference $V$ for two capacitors $C_1$ and $C_2$. The two capacitors have same plate separation but the plate area of $C_2$ is double than that of $C_1$. Which of the lines in the graph correspond to $C_1$ and $C_2$ and why?

As shown in the figure below, a dielectric material of dielectric constant $k$ is instead in half proportion between the plates of a parallel-plate capacitor. If its initial capacitance is $C$, what is the new capacitance?