Electromagnetic Theory-Gauge Invariance (CSIR Physical Sciences): Questions 1 - 2 of 2

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Question number: 1

» Electromagnetic Theory » Gauge Invariance

Appeared in Year: 2013

MCQ▾

Question

The components of a vector potential Aμ(A0,A1,A2,A3) are given by,

Aμ=k(xyz,yzt,zxt,xyt)

Where k is a constant. The three component of the electric field are – (June)

Choices

Choice (4) Response

a.

(0,0,0)

b.

k(xt,yt,zt)

c.

k(yz,zx,xy)

d.

k(x,y,z)

Question number: 2

» Electromagnetic Theory » Gauge Invariance

Appeared in Year: 2013

MCQ▾

Question

Let (V, A) and (V’, A’) denote two sets of scalar and vector potentials, and ψ a scalar function. Which of the following transformations level the electric and magnetic field (and hence Maxwell’s equations) unchanged? (December)

Choices

Choice (4) Response

a.

A=A2ψandV=Vψt

b.

A=AψandV=V+2ψt

c.

A=A+ψandV=Vψt

d.

A=A+ψandV=V+ψt

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