Electrostatics Test

Result

Electrostatics Test - 29

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Weekly Quiz Competition

Question 1
4 / -1

Two equal point charges are fixed at x = -a and x = +a on the X-axis. Another point charge Q is placed at the origin. The change in electrical potential energy of Q, when it is displaced by a small distance x along the X- axis is approximately proportional to

A
x

B
x²

C
x³

D
x^–1

Solution
Question 2
4 / -1

Two identical capacitors have the same capacitance C. One of them is charged to potential V₁ and the other to V₂. The negative ends of the capacitors are connected together. When the positive ends are also connected, the decrease in energy of the combined system is

A

B

C

D

Solution
Question 3
4 / -1

A conductor having a cavity is given a positive charge. Then field strength E _A , E_B and E_C at point A (within cavity), at B (within conductor but outside cavity) and C (outside conductor) will be

A

B

C

D
Question 4
4 / -1

A fully charged capacitor has a capacitance ‘C’. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity ‘s’ and mass ‘m’. If the temperature of the block is raised by ‘∆T’, the potential difference ‘V’ across the capacitance is

A

B

C

D

Solution
Question 5
4 / -1

One plate of a capacitor is connected to a spring as shown in Fig. Area of both the plates is A. In steady state, separation between the plates is 0.8 d (spring was unstreched and the distance between the plates was d when the capacitor was uncharged). The force constant of the spring is approximately

A

B

C

D

Solution
Question 6
4 / -1

An insulator plate is passed between the plates of a capacitor. Then current

A
first flows from A to B and then from B to A

B
first flows from B to A and then from A to B

C
always flows from B to A

D
always flows from A to B
Question 7
4 / -1

In the circuit shown in fig., charge stored in 4µF capacitor is

A
20µC

B
10µC

C
40µC

D
120µC

Solution
Question 8
4 / -1

Capacitor A is charged to a potential of 100 V and capacitor B is charged to a potential of 75 V. What are the charges on A and B after key K is closed, Fig.?

A

B

C

D

Solution
Question 9
4 / -1

A parallel plate capacitor has area of each plate A, the separation between the plates d. It is charged to a potential V and then disconnected from the battery. How much work will be done in filling the capacitor completely with a dielectric of constant K?

A

B

C

D

Solution
Question 10
4 / -1

Two capacitors C₁ and C₂ = 2 C₁ are connected in a circuit with a switch between them as shown in fig. Initially, the switch is open and C₁ holds charge Q. The switch is closed. At steady state, the charge on each capacitor would be

A
Q, 2Q

B

C

D

Solution