Electromagnetic Theory-Laplace and Poisson Equations (CSIR Physical Sciences): Questions 1 - 3 of 3

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Question number: 1

» Electromagnetic Theory » Laplace and Poisson Equations

Appeared in Year: 2011

MCQ▾

Question

The electrostatic potential V(x,y) in free space in a region where the charge density ρ is zero is given by V(x,y)=4e2x+f(x)3y2 . Given that the x – component of the electric field, Ex and V are zero at the origin, f(x) is – (June)

Choices

Choice (4) Response

a.

4e2x8

b.

3x24e2x

c.

3x24e2x+16x

d.

3x24e2x+8x

Question number: 2

» Electromagnetic Theory » Laplace and Poisson Equations

Appeared in Year: 2013

MCQ▾

Question

If the electrostatic potential V(r,θ,ϕ) in a charge free region has the form V(r,θ,ϕ)=f(r)cosθ , then the functional form of f(r) (in the following a and b are constants) is – (December – 2013)

Choices

Choice (4) Response

a.

ar+br2

b.

aln(rb)

c.

ar2+br

d.

ar+br

Question number: 3

» 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

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