Electrostatic Potential and Capacitance Test

Result

Electrostatic Potential and Capacitance Test - 1

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Question 1
4 / -1

The electric field and the potential of an electric dipole vary with distance r as

A

B

C

D

Solution

Electric field and electric potential at a general point at a distance r from the centre of the dipole is
Question 2
4 / -1

An electric dipole is placed at the centre of a hollow conducting sphere. Which of the following is correct?

A
Electric field is zero at every point of the sphere

B
Electric field is not zero anywhere on the sphere

C
The flux of electric field is not zero through the sphere

D
All of these

Solution

When electric dipole is held in the sphere, electric field is not zero anywhere on the sphere. However, net electric flux through the sphere is zero.
Question 3
4 / -1

Which of the following is not true?

A
For a point charge, electrostatic potential varies as 1/r

B
For a dipole, the potential depends on the magnitude of position vector and dipole moment vector

C
The electric dipole potential varies as 1/r at large distance

D
For a point charge, the electrostatic field varies as 1/r²

Solution

The electric dipole potential varies as 1/r at large distance is not true.
Question 4
4 / -1

The distance between H + and Cl − ions in HCl molecules is 1.38 Å. The potential due to this dipole at a distance of 10Å on the axis of dipole is

A
2.1 V

B
1.8 V

C
0.2 V

D
1.2 V

Solution

Here, 2a = 1.38 × 10⁻¹⁰m, r = 10 × 10⁻¹⁰ m charge, q = 1.6 × 10⁻¹⁹C
As potential,
Question 5
4 / -1

Four points a, b, c and d are set at equal distance from the centre of a dipole as shown in the figure.

The magnitudes of electrostatic potential V_a, V_b, V_c and V_dwould satisfy the following relation

A
V_a > V_b > V_c> V_d

B
V_a > V_b = V_d > V_c

C
V_a = V_c > V_b = V_d

D
V_b = V_d > V_a > V_c

Solution

V_b = 0
∴ V_a = V_c> V_b = V_d