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The eletric field in a certina region ...

The eletric field in a certina region is acting radially outward and is given by E = Ar. A charge contained in 'a' centred at the origin of the field will be givne by

A

`4 pi in_(0) Aa^(2)`

B

`A in_(0) a^(2)`

C

`4 pi in_(0) Aa^(3)`

D

`in_(0) Aa^(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
If q is the amount of charge inside the sphere by , considering the upper , surface of the sphere of the be the Gaussia surface ,
`ES = (q)/(in_(0)) or , Aa 4pia^(2) = (q)/(in_(0))` or `q = 4 pi in_(0) Aa^(3)`
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