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Questions  

If on the concentric hollow spheres of radii r and R (> r) the charge Q is distributed such that their surface densities are same then the potential at their common centre is:

a
QR2+r24πε0(R+r)
b
QRR+r
c
Zero
d
Q(R+r)4πε0R2+r2

detailed solution

Correct option is D

q1+q2=Q and q14πr2=q24πR2 q1=Qr2R2+r2 and q2=QR2R2+r2 Potential at common centre 14πε0Qr2R2+r2r+QR2R2+r2R=Q(R+r)4πε0R2+r2

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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 < R1p.is constant for q2 and vary for q1
ii.Electric potential for r < R1q.is zero for q2 and vary for q1
iii.Electric potential for R1 < r <R2r.is constant
iv.Electric field for R1 < r <R2s.is zero

Codes:


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