Electromagnetic Theory (CSIR Physical Sciences): Questions 55 - 57 of 57

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Question number: 55

» Electromagnetic Theory » Laplace and Poisson Equations

Appeared in Year: 2011

MCQ▾

Question

A static, spherically symmetric charge distribution is given by ρ(r)=Arekr , where A and K are positive constants. The electrostatic potential corresponding to this charge distribution varies with r as, (June)

Choices

Choice (4) Response

a.

reKr

b.

1r2eKr

c.

1r(1eKr)

d.

1reKr

Question number: 56

» Electromagnetic Theory » Maxwell's Equations in Free Space and Linear Isotropic Media

Appeared in Year: 2016

MCQ▾

Question

The x and z components of a static magnetic field in a region are Bx=B0(x2y2) and Bz=0 , respectively. Which of the following solutions for its y component is consistent with the Maxwell equations? (June)

Choices

Choice (4) Response

a.

By=B0xy

b.

By=B0(13x3xy2)

c.

By=B0(x2y2)

d.

By=2B0xy

Question number: 57

» Electromagnetic Theory » Boundary Conditions on Fields at Interfaces

Appeared in Year: 2016

MCQ▾

Question

The half space regions x>0 and x<0 are filled with dielectric media of dielectric constants ϵ1 and ϵ2 respectively. There is a uniform electric field in each part. In the right half, the electric field makes an angle θ1 to the interface. The corresponding angle θ2 in the left half satisfies –

Angle α Angle α: Angle between C, E, FAngle β Angle β: Angle between G, E, DSegment f Segment f: Segment [A, B] Segment g Segment g: Segment [C, D] Segment h Segment h: Segment [E, F] Segment h Segment h: Segment [E, F] Segment h Segment h: Segment [E, F] Segment i Segment i: Segment [G, E] Segment i Segment i: Segment [G, E] Segment i Segment i: Segment [G, E] /theta_1 text1 = “/theta_1”/theta_1 text1 = “/theta_1”/theta_2 text1_1 = “/theta_2”/theta_2 text1_1 = “/theta_2”/vec {E_1} text1_2 = “/vec {E_1} “/vec {E_1} text1_2 = “/vec {E_1} “/vec {E_1} text1_2 = “/vec {E_1} “/vec {E_2} text1_3 = “/vec {E_2} “/vec {E_2} text1_3 = “/vec {E_2} “/vec {E_2} text1_3 = “/vec {E_2} “ε_1 text1_4 = “ε_1”ε_1 text1_4 = “ε_1”ε_2 text1_5 = “ε_2”ε_2 text1_5 = “ε_2”x > 0 text1_6 = “x > 0”x > 0 text1_6 = “x > 0”x > 0 text1_6 = “x > 0”x < 0 text1_7 = “x < 0”x < 0 text1_7 = “x < 0”x < 0 text1_7 = “x < 0”

a Uniform Electric Field Passing Through Two Regions.

In figure a uniform electric field passing through two region. In the right half, the electric field makes an angle (theta) 1 to interface and the corresponding angle (theta) 2 in the left half. (June)

Choices

Choice (4) Response

a.

ϵ1tanθ2=ϵ2tanθ1

b.

ϵ1sinθ2=ϵ2sinθ1

c.

ϵ1sinθ1=ϵ2sinθ2

d.

ϵ1tanθ1=ϵ2tanθ2

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