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The electric field in a region is given by E = (Ax + B)î, where E is in N C⁻¹ and x is in metres. The value of constants are A = 20 SI unit and B = 10 SI unit. If the potential at x = 1 is V1 and at x = -5 is V2, then V1 - V2 is

1. -520 V
2. 180 V
3. -48 V
4. 320 V

Correct answer: 180 V

Solution

E = 20x+10. V1 - V2 = -integral_{-5}^{1}(20x+10)dx = -[10x^2+10x]_{-5}^{1} = -(20 - 200) = 180 V.

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