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KVPY2020PhysicsElectrostatics

A charge + q is situated at a distance ' d ' away from both the sides of a grounded conducting ' L ' shaped sheet as shown in the figure. The force acting on the charge + q is

Options

  1. Atowards O , magnitude q 2 32 π ε 0 d 2 2 2 + 1
  2. Baway from O , magnitude q 2 32 π ε 0 d 2 2 2 + 1
  3. Ctowards O , magnitude q 2 32 π ε 0 d 2 2 2 - 1
  4. Daway from O , magnitude q 2 32 π ε 0 d 2 2 2 - 1

Correct answer

C. towards O , magnitude q 2 32 π ε 0 d 2 2 2 - 1

Step-by-step solution

By method of image, the given arrangement is equivalent to F 1 = 1 4 π ϵ 0 q 2 2 d 2 , F 2 = 1 4 π ϵ 0 q 2 2 d 2 , F 3 = 1 4 π ϵ 0 q 2 2 2 d 2 ∴ F net = 2 q 2 16 π ϵ 0 d 2 - q 2 32 π ϵ 0 d 2 = q 2 32 π ϵ 0 d 2 2 2 - 1

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