Capacitance MCQ Level - 1 | 10 Questions MCQ Test

QUESTION: 1

The effective capacitance between A and B is

A.
1.3µF
B.
2.5µF
C.
2µF
D.
1µF

Solution:

The correct answer is: 2µF

QUESTION: 2

Time constant of a C-R circuit is second. Capacitor is discharged at time t = 0. The ratio of charge on the capacitor at time t = 2s and t = 6s is

A.
2 : 1
B.
4 : 1
C.
3 : 1
D.
8 : 1

Solution:

The correct answer is: 4 : 1

QUESTION: 3

Four plates are arranged as shown in the diagram. If area of each plate is A and the distance between two neighboring parallel plates is d, then the capacitance of this system will be

Solution:

The given circuit is equivalent to a parallel combination two identical capacitors
Hence equivalent capacitance between A and B is

C = ε₀A/d + ε₀A/d
= 2ε₀A/d

QUESTION: 4

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

A.
0
B.
2 F
C.
F
D.
F/2

Solution:

Your answer is incorrect.

The correct answer is: F/2

QUESTION: 5

In the combination shown in the figure, the ideal voltmeter reading will be

A.
2V
B.
4.5V
C.
3V
D.

Solution:

The correct answer is: 2V

QUESTION: 6

A parallel plate capacitor of plate area A and separation d is filled with two materials each of thickness d/2 and dielectric constants ∈₁ and ∈₂ respectively. The equivalent capacitance will be

Solution:

QUESTION: 7

For the circuit shown in figure, the equivalent capacitance of the combination is

A.
13μF
B.
(30/13) μF
C.
1μF
D.
(54/10) μF

Solution:

QUESTION: 8

Between the plates of parallel plate condenser a plate of thickness t₁ and dielectric constant k₁ is placed in the rest of the space, there is another plate of thickness t₂ and dielectric constant k₂. The potential difference across the condenser will be

Solution:

QUESTION: 9

In the figure shown, the effective capacitance between the points P and Q, if each has capacitance C is

A.
5C
B.
C/2
C.
C/5
D.
2C

Solution:

The correct answer is: 2C

QUESTION: 10

Two spherical conductor A and B of radii a and b (b > a) are placed concentrically in air. A is given a charge +Q while B is earthed. Then the equivalent capacitance of the system is