Q.

A conducting sphere of radius R is charged to a potential of V volts. The electric field at a distance r(>R) from the center of the sphere would be

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a

Vr

b

R2Vr3

c

RVr2

d

rVR2

answer is C.

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Detailed Solution

V=q4πEoRq=V4πEoRE=q4πEor2                  r>R=V.4πEoR4πEor2=VRr2
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A conducting sphere of radius R is charged to a potential of V volts. The electric field at a distance r(>R) from the center of the sphere would be