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An infinite thin non-conducting sheet has uniform surface charge density σ . Find the potential difference V A - V B between points A and B as shown in the figure. The line AB makes an angle of 37 ° with the normal to the sheet. sin ⁡ 3 7 ° = 3 5

Options

  1. A2 σ d 5 ε 0
  2. B- 2 σ d 5 ε 0
  3. C3 10 σ d ε 0
  4. D- 3 σ d 10 ε 0

Correct answer

A. 2 σ d 5 ε 0

Step-by-step solution

V f - V i = - E → . S → (for uniform field) V B - V A = - σ 2 ε 0 d cos ⁡ 37 ° = - 2 σ d 5 ε 0 ⇒ V A - V B = 2 σ d 5 ε 0

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