Electromagnetic Theory-Gauss Law and Applications (CSIR Physical Sciences): Questions 1 - 3 of 4

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Question number: 1

» Electromagnetic Theory » Gauss Law and Applications

Appeared in Year: 2012

MCQ▾

Question

Consider a hallow charged shell of inner radius a and outer radius b . The volume charge density is ρ(r)=kr2 (k is a constant) in the region a<r<b . The magnitude of the electric field produced at distance r>a is –

Choices

Choice (4) Response
a.

k(ba)ε0r2 for all r>a

b.

k(ra)ε0r2 for a<r<b and k(ba)ε0r2 for r>b

c.

k(ba)ε0r2 for a<r<b and kbε0r2 for r>b

d.

k(ra)ε0a2 for a<r<b and k(ba)ε0a2 for r>b

Question number: 2

» Electromagnetic Theory » Gauss Law and Applications

Appeared in Year: 2011

MCQ▾

Question

A static charge distribution gives rise to an electric field of the form E=α(1erR)r^r2 , where α and R are positive constants. The charge contained within a sphere of radius R, centered at the origin is: (December)

Choices

Choice (4) Response
a.

παε0eR2

b.

αε04π(11e)

c.

4παε0Re

d.

παε0e2R2

Question number: 3

» Electromagnetic Theory » Gauss Law and Applications

Appeared in Year: 2014

MCQ▾

Question

A solid of radius R has a charge density, given by ρ(r)=ρ0(1arR) ; where r is the radial coordinate and ρ0 and R are positive constants. If the magnitude of the electric field at r=R2 is 1.25 times that at r=R, then the value of a is – (December)

Choices

Choice (4) Response
a.

2

b.

14

c.

1

d.

12

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