1.

An electric field is expressed as `E = 2 hati +3 hatj`. Find the potential difference `(V_(A)-V_(B))` between two points A and B whose position vectors are given by `r_(A) = hati +2hatj` and `r_(B) = hatj +3hatk`A. `-1V`B. `1V`C. `2V`D. `3V`

Answer» Correct Answer - A
`V_(A)-V_(B) = int_(x_(A))^(x_(B)) E_(x)dx +int_(y_(A))^(y_(B))E_(y)dy + int_(z_(A))^(z_(B)) E_(z)dz`
`= int_(1)^(2) 2dx +int_(2)^(1) 3dy +in odz`
`= 2(2-1)+3(1-2) = 2-3 =- 1` volt


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