Electrostatic Potential and Capacitance
What is the SI unit of electrostatic potential?
Work done in moving a test charge over an equipotential surface is:
The electric potential inside a hollow charged spherical conductor of radius $R$ carrying charge $Q$ is:
When a dielectric slab of dielectric constant $K$ is completely inserted between the plates of a parallel plate capacitor, its capacitance becomes:
The electrostatic potential energy stored in a charged capacitor of capacitance $C$ charged to a potential $V$ is given by:
The electric potential at any point on the equatorial line of an electric dipole is:
Capacitance of an isolated spherical conductor of radius $R$ in vacuum is:
The dielectric constant of a perfect metallic conductor is:
The angle between electric field lines and equipotential surface is always:
The energy density $u$ (energy per unit volume) in an electric field $E$ in free space is given by:
A capacitor is connected to a battery. A dielectric slab of dielectric constant $K$ is inserted between its plates while the battery remains connected. The energy stored in the capacitor:
A parallel plate capacitor has a capacitance $C$ in air. If a medium of dielectric constant $K$ is completely filled between its plates, what will be the new capacitance?
A parallel plate capacitor has a capacitance of $50\text{ pF}$ and is charged to a potential difference of $100\text{ V}$ by a battery. The battery is then disconnected, and a dielectric slab of dielectric constant $K = 4$ (which completely fills the space between the plates) is inserted.
- Find the new capacitance of the capacitor.
- Find the new potential difference across the plates.
- Find the change in the electrostatic energy stored in the capacitor.
A parallel plate capacitor with air between the plates has a capacitance of $8 \text{ pF}$. What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant $K = 6$?
Derive an expression for the capacitance of a parallel plate capacitor when a dielectric slab of thickness $t$ and dielectric constant $K$ is introduced between the plates. Also, find the capacitance of a parallel plate capacitor of plate area $A$ and separation $d$, and calculate the equivalent capacitance when three capacitors of capacitances $C_1$, $C_2$, and $C_3$ are connected in series.