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Q.

The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a sphere of radius ‘a’ centred at the origin of the field, will be given by

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a

4πε0Aa3

b

4πε0Aa2

c

ε0Aa3

d

Aε0a2

answer is D.

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Detailed Solution

Net electric flux emitted from a spherical surface of radius ' a ' is,

ϕnet =qinε0             ( form Gauss law) 

ϕ=ES=(Aa)4πa2

∴(Aa)4πa2=qin ε0

hence, qin =4πε0Aa3

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