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A positive charge ‘Q’ is distributed uniformly throughout an insulated sphere of radius R, centered at origin. A positive charge ‘Q’ is placed at x = 2R on the x-axis. The magnitude of the electric filed at x=R2 on the x-axis will be

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a

3Q16π∈0R2

b

Q32π∈0R2

c

5Q72π∈0R2

d

Q72πϵ0R2

answer is D.

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Detailed Solution

E¯=E¯1+E¯2E=Q4πϵ0x1R3−1x22=Q4πϵ0R/2R3−1(3R/2)2=Q72πϵ0R2

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A positive charge ‘Q’ is distributed uniformly throughout an insulated sphere of radius R, centered at origin. A positive charge ‘Q’ is placed at x = 2R on the x-axis. The magnitude of the electric filed at x=R2 on the x-axis will be