Electromagnetic Theory (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 51 - 54 of 57

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Passage

The magnetic field of the mode of a rectangular waveguide of dimensions as shows in the figure is given by , where and are in cm.

Question number: 51 (2 of 2 Based on Passage) Show Passage

» Electromagnetic Theory » Electromagnetic Waves in Free Space

MCQ▾

Question

The dimensions of the waveguide are –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 52

» 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: 53

» Electromagnetic Theory » Electromagnetic Induction

Appeared in Year: 2011

MCQ▾

Question

Consider a solenoid of radius R with turns per unit length, in which a time dependent current (where ) flows. The magnitude of the electric field at a perpendicular distance from the axis of symmetry of the solenoid, is – (December)

Choices

Choice (4) Response

a.

0

b.

c.

d.

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

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