The electric field in a certain region is given by `E=(5hati-3hatj)kV//m`. Find the difference in potential `V_B-V_A`. If A is at the origin and point B is at a. (0,0,5)m, b. (4,0,3) m.`

Answer

B

Explanation

Apply `V_B-V_A=-int_A^BE.dr`
E is given in the question
and `dr=dxhati+dyhatj`
`:. E.dr=(5dx-3dy)`
`:. -intE.dr=(3y-5x)`
With limits answer answer comes out to be
`V_B-V_A=3(y_f-y_i)-5(x_f-x_i)`