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A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure. The electric potential at the point O lying at a distance L from the end A is :

Options

  1. AQ 4 π ∈ 0 L ln 2
  2. BQ ln 2 4 π ∈ 0 L
  3. CQ 8 π ∈ 0 L
  4. D3 Q 4 π ∈ 0 L

Correct answer

B. Q ln 2 4 π ∈ 0 L

Step-by-step solution

V = ∫ L 2 L kdq x = ∫ L 2 L 1 4 π ε 0 Q L dx x = Q 4 π ε 0 L ℓ n 2

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