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At a point 20 cm from the centre of a un...

At a point `20 cm` from the centre of a uniformly charged dielectric sphere of radius `10 cm`, the electric field is `100 V//m`. The electric field at `3 cm` from the centre of the sphere will be

A

150 V/m

B

125 V/m

C

120 V/m

D

Zero

Text Solution

Verified by Experts

The correct Answer is:
C
R = 10 cm, r = 20cm , E = 100V /m
`E_("(outside)")=(KQ)/(r^2)implies 100 = (9xx10^9xxQ)/((0.2)^2)`
`implies Q = (400 xx10^(-2))/(9xx10^9) = 4/9 xx10^(-9)C`
`E_("(inside)")=(KQr)/(R^3)= (9xx10^9 xx4 xx10^(-9)xx0.03)/(9xx(0.1)^3) = 120V //m.`
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