Electromagnetic Theory-Scalar and Vector Potentials (CSIR Physical Sciences): Questions 1 - 3 of 10

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Question number: 1

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2013

MCQ▾

Question

If the electric and magnetic field are unchanged when the vector potential A changes (in suitable units) according to AA+r^ , where r=r(t)r^, then the scalar potential Φ must simultaneously change to – (June)

Choices

Choice (4) Response

a.

Φ+r

b.

Φrt

c.

Φr

d.

Φ+rt

Question number: 2

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2012

MCQ▾

Question

The magnetic field corresponding to the vector potential A=12F×r+10r3r where F is a constant vector, is – (June)

Choices

Choice (4) Response

a.

F

b.

F

c.

F+30r4r

d.

F30r4r

Question number: 3

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2014

MCQ▾

Question

A scalar and vector potential φ(x,t) and A(x,t) are determine up to a gauge transformation φφ=φξt and AA=A+ξ , where ξ is an arbitrary continuous and differential function of x and t . If we further impose the Lorenz gauge condition,

A+1c2φt=0

Then a possible choice for the gauge function ξ(x,t) is – (Where ω,k are nonzero constants with =c k ) (December)

Choices

Choice (4) Response

a.

cosωtcoshkx

b.

sinhωtcoskx

c.

coshωtcoskx

d.

coshωtcoshkx

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