An electric field is expressed as `vec E = 2 hat i + 3 hat j`. Find the potential difference `(V_A - V_B)` between two points `A` and `B` whose position vectors are given by `r_A = hat i + 2 hat j and r_B = 2 hat i + hat j + 3 hat k`.

Options

A. `-1V`
B. `1v`
C. 2V
D. 3V

Answer

A

Explanation

`V_B-V_A=- int _i ^2 2dx+ int _2^1 3dy, =-[2(2-1)+3(1-2],=-[(2-3)]-1V,` Hence `V_A-V_B=-1V`