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The electric field in a region is given by E → = A x + B i ^ , where E is in N C - 1 and x is in metres. The values of constants are A = 20 S I unit and B = 10 S I unit. If the potential at x = 1 is V 1 and that at x = - 5 is V 2 , then V 1 - V 2 is

Options

  1. A320 V
  2. B- 520 V
  3. C180 V
  4. D- 48 V

Correct answer

C. 180 V

Step-by-step solution

V 1 - V 2 = - ∫ E . d x = - ∫ - 5 1 a x + b   d x = - a x 2 2 + b x - 5 1 =   - a 2 + b - a × 25 2 - 5 b =   - 20 2 + 10 - 250 + 50 = 180   V

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