Electromagnetic Theory (CSIR Physical Sciences): Questions 25 - 27 of 55

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Question number: 25

» Electromagnetic Theory » Electromagnetic Waves in Free Space

Appeared in Year: 2011

MCQ▾

Question

A plane electromagnetic wave is propagating in a lossless dielectric. The electric field is given by E(x,y,z,t)=E0(x^+Az^)exp[ik0{ct+(x+3z)}] , where c is the speed of light in vacuum, E0 , A and k0 are constant and x^ and z^ are unit vectors along the x and z – axes. The relative dielectric constant of the medium, εr and the constant A are – (June)

Choices

Choice (4) Response
a.

εr=4andA=+13

b.

εr=4andA=3

c.

εr=4andA=3

d.

εr=4andA=13

Question number: 26

» Electromagnetic Theory » Reflection and Refraction

Appeared in Year: 2014

MCQ▾

Question

A plane electromagnetic wave incident normally on the surface of a material is partially reflected. A measurement on the standing wave in the front of the interface shows that the ratio of the electric field amplitude at the maxima and the minima is 5. The ratio of the reflected intensity to the incident intensity is (December)

Choices

Choice (4) Response
a.

25

b.

23

c.

15

d.

49

Question number: 27

» 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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