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Electrostatic Potential And Capacitance

Question
CBSEENPH12047792

Figure shows three spherical and equipotential surfaces A, B and C round a point charge q. The potential difference VA - VB = VB -VC If t1 and t2 be the distances between them, then              

  • t1 = t2

  • t1 > t2

  • t1 < t2

  • t1 ≤ t2

Solution

C.

t1 < t2

Potential difference between two equipotential surfaces A and B,

      VA  - VBkq 1rA - 1rB

                 = kq rB - rArArB

         VA -VB = kq t1rArB        

 ⇒              t1 = VA - VB rA rBkq

 ⇒                 t1  rA rB

        Similarly, t2  rB rC

           Since, rA< rB <rC therefore rA rB < rB rC

                  ∴ t1 < t2

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