Electromagnetic Theory [GATE (Graduate Aptitude Test in Engineering) Physics (PE)]: Questions 42 - 47 of 276

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Question 42

Appeared in Year: 2012

Question MCQ▾

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.

Edit

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.

The Magnetic Field of a Mode of a Rectangular Waveguide

Question 43 (1 of 2 Based on Passage)

Question MCQ▾

The dimensions of the waveguide are –

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 44 (2 of 2 Based on Passage)

Question MCQ▾

The entire range of frequencies for which the mode will propagate is:

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 45

Appeared in Year: 2011

Question MCQ▾

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.

Edit

Question 46

Appeared in Year: 2011

Question MCQ▾

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.

b.

0

c.

d.

Edit

Question 47

Appeared in Year: 2011

Question MCQ▾

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.

L remains unchanged under a gauge transformation of the potentials

b.

The Hamiltonian of the particle is given by

c.

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

d.

The canonically conjugate momentum of the particle is given by

Edit