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

 The magnetic field of a mode of a rectangular waveguide

the Magnetic Field of a Mode of a Rectangular Waveguide

In figure the magnetic field of a mode of a rectangular waveguide is shown.

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.

Equation

b.

Equation

c.

Equation

d.

Equation

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 Equation . The vector potential at a perpendicular distance Equation from the wire is given by Equation . The electric field at a distance Equation is –

(December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

0

d.

Equation

Question number: 53

» Electromagnetic Theory » Electromagnetic Induction

Appeared in Year: 2011

MCQ▾

Question

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

Choices

Choice (4) Response

a.

0

b.

Equation

c.

Equation

d.

Equation

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

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