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 A charge Q is distributed over two concentric hollow spheres of radii r and R ( R > r ) such that, their surface densities are equal. Find the potential at the common centre k = (4πε0)-1
  • a)
    kQ/R + r
  • b)
  • c)
    kQ/r
  • d)
    kQ/R
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A charge Q is distributed over two concentric hollow spheres of radii ...
Since, the surface charge densities of both the concentric spheres are equal.
⇒ 
⇒ ....(i)
Now, total charge on the spheres is given by
Q = q1 + q2 =4π2σ[using eqn (i)]
⇒ Q=4π(r2 + R2) σ   ...(ii)
⇒ 
Now, total potential due to both concentric spheres is given by

⇒ 
⇒ 

⇒ [using eqn(ii)]
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A charge Q is distributed over two concentric hollow spheres of radii r and R ( R > r ) such that, their surface densities are equal. Find the potential at the common centre k = (4πε0)-1a)kQ/R + rb)c)kQ/rd)kQ/RCorrect answer is option 'B'. Can you explain this answer?
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