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AP EAMCET202119 Aug 2021Evening ShiftPhysicsElectrostaticsActual

Charge on the outer sphere is q and the inner sphere is grounded. The charge on the inner sphere is q ' , for r 2 > r 1 . Then

Options

  1. Aq ′ r 1 = q r 2
  2. Bq ′ = q
  3. Cq ′ = r 1 r 2 q
  4. Dq ′ = − r 1 r 2 q

Correct answer

D. q ′ = − r 1 r 2 q

Step-by-step solution

Since the inner sphere is grounded, potential of the shell must be zero due to the charges on outer sphere and inner sphere. ⇒ k q ' r 1 + k q r 2 = 0 ⇒ k q ' r 1 = - k q r 2 ⇒ q ' = - r 1 r 2 q

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