Electrostatic Potential and Capacitance Test

Result

Electrostatic Potential and Capacitance Test - 4

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Question 1
4 / -1

Consider a uniform electric field in the z-direction. The potential is a constant

A
for any x for a given z

B
for any y for a given z

C
on the x-y plane for a given z

D
all of these

Solution

As the electric field in the z-direction is uniform, equipotential surfaces are in xy plane. Hence the potential for given z is constant on x-y plane, for any x in this plane and for any y in this plane. So all are correct.
Question 2
4 / -1

Equipotential surfaces

A
are closer in regions of large electric fields compared to regions of lower electric fields

B
will be more crowded near sharp edges of a conductor

C
will always be equally spaced

D
both (a) and (b) are correct

Solution

Electric field,

i.e., equipotential surfaces are closer in regions of large electric fields compared to regions of lower electric field. At sharp edges of a conductor, charge density is more. Therefore electric field is stronger. Hence equipotential surfaces are more crowded.
Question 3
4 / -1

In a region of constant potential

A
the electric field is uniform.

B
the electric field is zero.

C
there can be no charge inside the region.

D
both (b) and (c) are correct.

Solution

In a region of constant potential
(∵ V = constant)
i.e., electric field is zero, so there can be no charge inside the region.
Question 4
4 / -1

Which of the following statements is true about the relation between electric field and potential?

A
Electric field is in the direction in which the potential decreases steepest.

B
Magnitude of electric field is given by the change in the magnitude of potential per unit displacement normal to the equipotential surface at that point.

C
In the region of strong electric field, equipotential surfaces are far apart.

D
Both the statements (a) and (b) are correct.

Solution

In the region of strong electric fields equipotential surfaces are close together and in the region of weak electric fields, equipotential surfaces are far apart.
Question 5
4 / -1

What is the angle between electric field and equipotential surface?

A
90^∘ always

B
0^∘ always

C
0^∘ to 90^∘

D
0^∘ to 180^∘

Solution

Electric field is always perpendicular to the equipotential surface at any point.