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An electric field E → = 10 x i ^ N C - 1 exists in space where x is measured in metre. Considering the potential at 10 m , 20 m to be zero, the potential at the origin is

Options

  1. A1000 V
  2. B100 V
  3. C375 V
  4. D500 V

Correct answer

D. 500 V

Step-by-step solution

d V = –   E → . d r → If V 0 is the potential at the origin, then ∫ 0 V 0 d V = - ∫ 10 0 E   d x ⇒   V 0 = 10 10 2 2 = 500   V

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