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Q.

Two concentric conducting spheres are as shown. A point charge (Q) is at common center. Inner sphere is a hollow shell having charge 2Q and outer sphere is a grounded thick hollow sphere. Which of the following is correct graph of potential as a function of distance from centre?

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a

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b

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c

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d

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answer is C.

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Detailed Solution

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$V (R < r) = \frac{k Q}{r} + \frac{k (2 Q)}{R} + \frac{k (- 3 Q)}{2 R} = \frac{k Q}{r} + \frac{k Q}{2 R}$

$v (R \leq r \leq 2 R) = \frac{k (3 Q)}{r} - \frac{k (3 Q)}{2 R}$

$V (2 R \geq r) = 0$

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Two concentric conducting spheres are as shown. A point charge (Q) is at common center. Inner sphere is a hollow shell having charge 2Q and outer sphere is a grounded thick hollow sphere. Which of the following is correct graph of potential as a function of distance from centre?