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A small conducting sphere of the radius r is lying concentrically inside a bigger hollow conducting sphere of radius R . The bigger and smaller sphere are charged with Q and q ( Q > q ) and are insulated from each other. The potential difference between the sphere will be

Options

  1. A1 4 π ε 0 q r – q R
  2. B1 4 π ε 0   q R – Q r
  3. C1 4 π ε 0   q r – Q R
  4. D1 4 π ε 0   Q R + q r

Correct answer

A. 1 4 π ε 0 q r – q R

Step-by-step solution

Potential of the inner sphere V A = k q r + k Q R Potential of the outer sphere V B = k q R + k Q R ∴ V A – V B = k q r – k q R = 1 4 π ε 0 q r - Q R

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