Charges on Large and Parallel Conducting Plates

Q.

Two charge +qand -qare situated at a certain distance. At the point exactly midway between them

1. Electric field and potential both are zero.
2. Electric field is zero but the potential is not zero.
3. Electric field is not zero but the potential is zero.
4. Neither electric field nor potential is zero.

Q.

Why is the electric field constant between plates?

Q.
Three identical plates are given charges as shown in figure. Charge flown through switch from middle plate when it is closed is.

1. $3Q$
2. $-2Q$
3. $2Q$
4. $0$

Q. Twelve capcitors each having a capacitance $C$, are connected to form a cube. Find the equivalent capacitance of the cube along its body diagonal?

1. $\frac{8}{3}C$
2. $\frac{6}{5}C$
3. $\frac{4}{3}C$
4. $\frac{12}{7}C$

Q. Four identical plates are connected as shown. Find ceff of the system.

1. $\frac{{ϵ}_{0}A}{d}$
2. $\frac{{ϵ}_{0}A}{2d}$
3. $\frac{3{ϵ}_{0}A}{2d}$
4. $\frac{2{ϵ}_{0}A}{3d}$

Q. Two conducting plates of surface area $5{\text{m}}^2$ are placed parallel to each other at a distance $0.885\text{cm}$. If the charge on one plate is $60\mu \text{C}$ and on the other is $20\mu \text{C}$, find the potential difference between the plates.

1. $4\text{kV}$
2. $40\text{kV}$
3. $40\text{V}$
4. $4\text{V}$

Q. The surfaces of these conductor plates are given charges as shown and are separated by very small distances compared to their surface area. What will be the charge on the surface 'e'?

1. +5C
2. -2C
3. -5C
4. +2C