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Standard XII

Physics

Electric Potential Due to Shell

Three concetr...

Question

Three concetric spherical conductor A, B and C of radii R, 2R and 4R respectively. A and C is shorted and B is uniformly charged (charge +Q).

The potential at B is

$\frac{Q}{4 π ϵ_{0} R}$

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$\frac{Q}{16 π ϵ_{0} R}$

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$\frac{5 Q}{48 π ϵ_{0} R}$

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None of these

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Solution

The correct option is C
$\frac{5 Q}{48 π ϵ_{0} R}$

$v_{B} = k [\frac{- Q}{6 R} + \frac{Q}{2 R} + \frac{Q}{12 R}] = \frac{5 Q}{48 π ϵ_{0} R}$

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Three concetric spherical conductor A, B and C of radii R, 2R and 4R respectively. A and C is shorted and B is uniformly charged (charge +Q). The potential at B is

The correct option is C 5Q48πϵ0R vB=k[−Q6R+Q2R+Q12R]=5Q48πϵ0R

Three concetric spherical conductor A, B and C of radii R, 2R and 4R respectively. A and C is shorted and B is uniformly charged (charge +Q).

The potential at B is

The correct option is C
$\frac{5 Q}{48 π ϵ_{0} R}$

$v_{B} = k [\frac{- Q}{6 R} + \frac{Q}{2 R} + \frac{Q}{12 R}] = \frac{5 Q}{48 π ϵ_{0} R}$