# Electromagnetic Theory [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 61 - 66 of 88

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## Question 61

Appeared in Year: 2008

### Question

MCQ▾

A circular disc of radius on the plane has a surface charge density . The electric dipole moment of this charge distribution is –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 62

Electromagnetic Theory

Appeared in Year: 2007

### Question

MCQ▾

Can the following scalar and vector potential describe an electromagnetic field?

Where is a constant.

### Choices

Choice (4)Response

a.

Yes, in the Coulomb gauge

b.

No

c.

Yes, provided

d.

Yes, in the Lorentz gauge

### Passage

Consider two concentric conducting spherical shells with inner and outer radii and as shown in the figure. Both the shells are given amount of positive charges.

## Question 63 (1 of 2 Based on Passage)

Appeared in Year: 2008

### Question

MCQ▾

In order to have equal surface charge densities on the outer surface of both the shells, the following conditions should be satisfied –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 64 (2 of 2 Based on Passage)

Appeared in Year: 2008

### Question

MCQ▾

The electric field in different regions are –

### Choices

Choice (4)Response

a.

for for

for ; for

b.

for ; for

for ; for

c.

for ; for

for ; for

d.

for ; for

for for

### Passage

A dielectric sphere of radius carries polarization , where is the distance from the centre and is a constant. In the spherical polar coordinate system are the unit vectors.

## Question 65 (1 of 2 Based on Passage)

Electromagnetic Theory

Appeared in Year: 2006

### Question

MCQ▾

The bound volume charge density inside the sphere at a distance from the centre is –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 66 (2 of 2 Based on Passage)

Electromagnetic Theory

Appeared in Year: 2006

### Question

MCQ▾

The electric field inside the sphere at a distance from the centre is –

### Choices

Choice (4)Response

a.

b.

c.

d.

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