Questions

Three concentric spherical shells have radii a, band c (a < b < c) and have surface charge densities $σ, - σ and σ$ respectively. If $V_{A}, V_{B} and V_{C}$ denote the potentials of the three shells, then for c = a + b, we have :

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VC=VB=VA

VC=VA ≠VB

VC=VB≠VA

VC≠VB=VA

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detailed solution

Correct option is B

VA=kσ x 4πa2a+k-σ x 4πb2b+kσ x 4πc2c =4πkσ(a-b+c)VB=kσ x 4πa2b+k-σ x 4πb2b+kσ x 4πc2c =4πkσ(a2b-b+c)VC=kσ x 4πa2c+k-σ x 4πb2c+kσ x 4πc2c =4πkσ(a-b+c)⇒VA=VC≠VB

Similar Questions

Two spherical shells are as shown in figure.

Let r be the distance of a point from their common centre. Then, match the following columns and mark the correct choice from the given codes.

	Column-I		Column-II
i.	Electric field for r < R₁	p.	is constant for q₂ and vary for q₁
ii.	Electric potential for r < R₁	q.	is zero for q₂and vary for q₁
iii.	Electric potential for R₁ < r <R₂	r.	is constant
iv.	Electric field for R₁ < r <R₂	s.	is zero