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Assume that an electric field E → = 3 0 x ⁡ 2 i ⁡ ^ exists in space. Then the potential difference V A - V O , where V O is the potential at the origin and V A the potential at x = 2 m is :

Options

  1. A120   J   C - 1
  2. B- 120   J   C - 1
  3. C- 80   J   C - 1
  4. D80   J   C - 1

Correct answer

C. - 80   J   C - 1

Step-by-step solution

∴ d V = - E → . d x → Integrating both sides, ∫ V O V A d V = − 30 ∫ 0 2 x 2 d x V A − V O = − 30 x 3 3 0 2 = − 80   J   C - 1

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