Electrostatic Potential And Capacitance

A slab of material of dielectric constant has the same area as the plates of a parallel plate capacitor but has a thickness , where is the separation of the plates. The ratio of the capacitance (in the presence of the dielectric) to the capacitance (in the absence of the dielectric) is

A capacitor is charged by supply. It is then disconnected from the supply and is connected to another capacitor. The electrostatic energy lost in the process is

A capacitor of capacity is charged to a potential difference using a battery. The battery is then removed and the capacitor connected using a switch , as shown in the figure, to an uncharged capacitor of capacity . The total final energy of the two capacitors after they are connected together then the charges and on the capacitors shall be

A thin non-conducting rod of length has a positive charge of uniform linear density . Find the electric potential due to the rod at a point, which is at a perpendicular distance of from one-end of the rod .

A proton is released from rest in a uniform electric field of magnitude , directed along positive -axis. The proton undergoes a displacement of in the direction of the field. What is the change in electric potential of the proton as a result of this displacement?