Electromagnetic Theory-Scalar and Vector Potentials (CSIR Physical Sciences): Questions 4 - 6 of 10

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Question number: 4

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2011

MCQ▾

Question

For constant uniform electric and magnetic fields E=E0 and B=B0 , it is possible to choose a gauge such that the scalar potential ϕ and vector potential A are given by, - (June)

Choices

Choice (4) Response
a.

ϕ=0andA=E0r

b.

ϕ=E0randA=0

c.

ϕ=E0randA=12(B0×r)

d.

ϕ=0andA=12(B0×r)

Question number: 5

» Electromagnetic Theory » Scalar and Vector Potentials

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 constant. The three components of the electric field are – (June – 2013)

Choices

Choice (4) Response
a.

k(yz,zx,xy)

b.

(0, 0,0)

c.

k(x,y,z)

d.

k(xt,yt,zt)

Question number: 6

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2014

MCQ▾

Question

A thin, infinitely long solenoid placed along the z – axis contains a magnetic flux ϕ . Which of the following vector potentials corresponds to the magnetic field at an arbitrary point (x,y,z) ? (June – 2014)

Choices

Choice (4) Response
a.

(Ax,Ay,Az)=(ϕ2πyx2+y2,ϕ2πxx2+y2,0)

b.

(Ax,Ay,Az)=(ϕ2πx+yx2+y2,ϕ2πx+yx2+y2,0)

c.

(Ax,Ay,Az)=(ϕ2πyx2+y2+z2,ϕ2πxx2+y2+z2,0)

d.

(Ax,Ay,Az)=(ϕ2πxx2+y2,ϕ2πyx2+y2,0)

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