Question

Find the potential difference V_(AB) between A(2m, 1m, 0) and B(0, 2m, 4m) in an electric field, E=(xhati-2yhatj+zhatk)V/m

Answer 1

Answer:

d V=−E .d r

∫A B d V=−∫(210) (024)(xiˆ−2 y jˆ+z kˆ).(d x iˆ+d y jˆ+d z kˆ)

∴VA−VB=−∫(210) (024)(x d x−2 y d y+z d z)

or V A B=−[ x 2 2 −y 2+z 2 2] (210) (024)

THE ANSWER