Increasing Capacitance Even More

Q. Polarization is dipole moment per unit of a dielectric material.

1. area
2. volume
3. length

Q. The capacitance of a parallel plate condenser does not depend on

1. Area of the plates
2. Medium between the plates
3. Distance between the plates
4. Metal of the plates

Q. A parallel plate capacitor of capacitance C is equally filled with parallel layers of materials of dielectric constants $K_1$ and $K_2$. Then the ratio of new capacitance to the previous capacitance is

1. $\frac{2K_1{K}_2}{K_1+K_2}$
2. $K_1+K_2$
3. $\frac{K_1{K}_2}{K_1+K_2}$
4. None of the above

Q. I have a parallel plate capacitor with a charge Q on the positive plate. I somehow suspend a piece of rock between the two plates. What can I say for sure?

1. The capacitance of the capacitor has increased.
2. The capacitance of the capacitor has decreased.
3. There is no change to the capacitor’s capacitance.
4. We can’t say any of the above for sure.

Q. When a field is applied across a dielectric, the net field inside the dielectric will .

1. increase
2. reduce
3. remain same

Q. A parallel plate capacitor of capacitance C is equally filled with parallel layers of materials of dielectric constants $K_1$ and $K_2$. Then the ratio of new capacitance to the previous capacitance is

1. $\frac{2K_1{K}_2}{K_1+K_2}$
2. $K_1+K_2$
3. $\frac{K_1{K}_2}{K_1+K_2}$
4. None of the above

Q. A solid conducting sphere of radius $10\text{cm}$ is enclosed by a thin metallic shell of radius $20\text{cm}$. A charge $q=20\mu \text{C}$ is given to the inner sphere. Find the heat generated in the process, the inner sphere is connected to the shell by a conducting wire-