A spherical space of radius R is uniformly charged and electric flux through the surface of this spherical space is ϕ. What will be the electric field at a point on the surface of a concentric spherical space of radius R2?
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a
ϕ4πR2
b
ϕ/8πR2
c
ϕ2πR2
d
∈0ϕ4πR2
answer is B.
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Detailed Solution
If Q be the net charge enclosed by surface (1), then Q=∈0ϕQ1=Net charge enclosed by surface - (2).=Q43πR3×43πR23=Q8=∈0ϕ8∴ EP=14π∈0Q1R22=Q'4π∈04R2=ϕ8πR2