Electromagnetic Theory (CSIR Physical Sciences): Questions 34 - 36 of 57

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Question number: 34

» 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: 35

» Electromagnetic Theory » Electromagnetic Induction

Appeared in Year: 2013

MCQ▾

Question

The electric field of an electromagnetic wave is given by, E=E0cos[π(0.3x+0.4y1000t)]k^ . The associated magnetic field B is (December – 2013)

Choices

Choice (4) Response

a.

102E0cos[π(0.3x+0.4y1000t)](3i^+4j^)

b.

104E0cos[π(0.3x+0.4y1000t)](4i^3j^)

c.

103E0cos[π(0.3x+0.4y1000t)]k^

d.

E0cos[π(0.3x+0.4y1000t)](0.3i^+0.4j^)

Question number: 36

» 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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