Electromagnetic Theory (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 54 - 56 of 68

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Question number: 54

» 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

Question number: 55

» Electromagnetic Theory » Laplace and Poisson Equations

Appeared in Year: 2011

MCQ▾

Question

A static, spherically symmetric charge distribution is given by , where A and K are positive constants. The electrostatic potential corresponding to this charge distribution varies with as, (June)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 56

» Electromagnetic Theory » Maxwell's Equations in Free Space and Linear Isotropic Media

Appeared in Year: 2016

MCQ▾

Question

The and components of a static magnetic field in a region are and , respectively. Which of the following solutions for its component is consistent with the Maxwell equations? (June)

Choices

Choice (4) Response

a.

b.

c.

d.

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