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The electric field in a certain region i...

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

A

`A epsilon_0 a^2`

B

`4 pi epsilon_0 Aa^3`

C

`epsilon_0 Aa^3`

D

`4 pi epsilon_0 Aa^2`

Text Solution

Verified by Experts

The correct Answer is:
B
E = Ar, R = a
Flux `phi=(q_("in"))/(epsilon_0)implies ES=(q_("in"))/(epsilon_0)`
`impliesq_("in")=epsilon_0(Aa) (4pi a^2)implies q_("in") = 4epsilon_0pi a^3A`
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