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 Equation and mass m in applied electric and magnetic field is given by Equation , where Equation and Equation 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 Equation and Equation .

b.

The canonically conjugate momentum of the particle is given by Equation

c.

L remains unchanged under a gauge transformation of the potentials

d.

The Hamiltonian of the particle is given by Equation

Question number: 55

» Electromagnetic Theory » Laplace and Poisson Equations

Appeared in Year: 2011

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 56

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

Appeared in Year: 2016

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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