List of top Physics Questions on electrostatic potential and capacitance asked in AMUEEE

A proton is released from rest in a uniform electric field of magnitude $8.0\times 10^{4}\, V/m$, directed along positive $x$-axis. The proton undergoes a displacement of $0.30\,m$ in the direction of the field. What is the change in electric potential of the proton as a result of this displacement?

A thin non-conducting rod of length $50 \,cm$ has a positive charge of uniform linear density $10^{-12} \,C / m$. Find the electric potential due to the rod at a point, which is at a perpendicular distance of $1.0 \,cm$ from one-end of the rod $\left(\varepsilon_{0}=8.8 \times 10^{-12} F / m \right)$.

A capacitor of capacity $C_{1}=3.5 \,\mu F$ is charged to a potential difference $V_{0}=6.0\, V$ using a battery. The battery is then removed and the capacitor connected using a switch $S$, as shown in the figure, to an uncharged capacitor of capacity $C_{2}=6.5 \,\mu F$. The total final energy of the two capacitors after they are connected together then the charges $\left|q_{1}\right|$ and $\left|q_{2}\right|$ on the capacitors shall be

A $600 \,pF$ capacitor is charged by $200 \,V$ supply. It is then disconnected from the supply and is connected to another $300 \,pF$ capacitor. The electrostatic energy lost in the process is

A slab of material of dielectric constant $K$ has the same area as the plates of a parallel plate capacitor but has a thickness $\left(\frac{3}{4}\right) d$, where $d$ is the separation of the plates. The ratio of the capacitance $C$ (in the presence of the dielectric) to the capacitance $C_{0}$ (in the absence of the dielectric) is