Charges on Large and Parallel Conducting Plates

Q. If a charge of $500\mu C$ is given to a isolated thin conducting plate and $200\mu C$ gets reside on one of its face, what will be the charge on its other face?

1. $300\mu C$
2. $500\mu C$
3. $100\mu C$
4. $200\mu C$

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

Q. Two large conducting plates are placed parallel to each other maintaining very small separation between them. It charges of equal magnitude but opposite signs are given to them, then the charge appearing on the outer faces of the conductors will be?

1. Zero
2. Can't say
3. Unequal

Q. There are three conducting plates placed very near and parallel to each other as shown below. What will be the charge on face 3 if mentioned charges are provided to the plates?

1. -3 C
2. 3 C
3. -9 C
4. 0 C

Q. A weird shaped conductor is given an excess charge of -40 C. A closed surface is chosen such that it is perfectly contained well inside the bulk of the conductor. The Electric flux through this surface will be?

1. $\frac{40}{{\epsilon }_o}$
2. zero
3. Insufficient data
4. $\frac{-40}{{\epsilon }_o}$

Q.

Two protons A and B are placed in between the two plates of a parallel plate capacitor charged to a potential difference V as shown in the figure. The forces on the protons due to capcitor plates are

1. Equal in magnitude and opposite in direction

2. Equal in magnitude and in same direction

3. Unequal in magnitude and opposite in direction

4. Unequal in magnitude and different in direction

Q.

Force acting upon a charged particle kept between the plates of a charged condenser is F. If one plate of the condenser is removed, then the force acting on the same particle will become:

1. 0

2. F/2

3. F

4. 2F

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

Q. Find $C_{AB}$ for the following system.

1. $\frac{3{ϵ}_{0}A}{5d}$
2. $\frac{5{ϵ}_{0}A}{3d}$
3. $\frac{4{ϵ}_{0}A}{d}$
4. $\frac{{ϵ}_{0}A}{4d}$

Q. Four identical plates are arranged as shown and are alternately connected to the and -ve terminals A and B as shown. Find ceff of the system.

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