GATE Physics: Questions 140 - 141 of 290

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Question number: 140

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2012

MCQ▾

Question

The electric and the magnetic fields E(z,t) and B(z,t) , respectively corresponding to the scalar potential ϕ(z,t)=0 and vector potential A(z,t)=i^tz are –

Choices

Choice (4) Response
a.

E=i^zandB=j^t

b.

E=i^zandB=j^t

c.

E=i^zandB=j^t

d.

E=i^zandB=j^t

Question number: 141

» Electromagnetic Theory » Diffraction and Polarization

Appeared in Year: 2012

MCQ▾

Question

Two infinitely extended homogeneous isotropic dielectric media (medium – 1 and medium – 2 with dielectric constant ε1ε0=2 and ε2ε0=5 , respectively) meet at the z=0 plane as shown in the figure. A uniform electric field exists everywhere. For z0 , the electric field is given by E1=2i^3j^+5k^ . The interface separating the two media is charge free. The electric displacement vector in the medium – 2 is given by,

Segment f Segment f: Segment [C, D] Vector u Vector u: Vector [A, B] Vector u Vector u: Vector [A, B] medium - 1 text1 = “medium - 1 “medium - 2 text1_1 = “medium - 2”z = 0 text1_2 = “z = 0”z = 0 text1_2 = “z = 0”z = 0 text1_2 = “z = 0”

Plane in Which Two Media Meet

In figure two infinitely extended homogeneous isotropic dielectric media meet at the z = 0 plane is shown.

Choices

Choice (4) Response
a.

D2=ε0[10i^15j^+10k^]

b.

D2=ε0[4i^+6j^+10k^]

c.

D2=ε0[10i^+15j^+10k^]

d.

D2=ε0[4i^6j^+10k^]

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