Question:

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

−48V

−520V

320V

180V

Correct option is C. 180V
E→=(20x+10)i^
V₁−V₂=−∫⁻⁵¹(20x+10)dx
V₁−V₂=−(10x²+10x)|⁻⁵¹;
V₁−V₂=10(25−5−1−1)
V₁−V₂=180V