# Electromagnetic Theory-Scalar and Vector Potentials (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 7 - 10 of 10

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## Question number: 7

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2012

MCQ▾

### Question

The vector potential due to a magnetic moment at a point is given by . If is directed along the positive z – axis, the x – component of the magnetic field, at the point , is – (June)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 8

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2012

MCQ▾

### Question

Consider an infinite conducting sheet in the XY – plane with a time dependent current density , where K is constant. The vector potential at is given by . The magnetic field is –

(December)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 9

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2011

MCQ▾

### Question

A constant electric current I in an infinitely long straight wire is suddenly switched on at . The vector potential at a perpendicular distance from the wire is given by . The electric field at a distance is –

(December)

### Choices

Choice (4) Response

a.

b.

c.

0

d.

## Question number: 10

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2011

MCQ▾

### Question

The Lagrangian of a particle of charge and mass m in applied electric and magnetic field is given by , where and are the vector and scalar potentials corresponding to the magnetic and electric fields, respectively. Which of the following statement is correct? (June)

### Choices

Choice (4) Response

a.

Under a gauge transformation of the potentials, L changes by the total time derivative of a function of and .

b.

The canonically conjugate momentum of the particle is given by

c.

L remains unchanged under a gauge transformation of the potentials

d.

The Hamiltonian of the particle is given by

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