The electric field in a region is given by `vecE = (A/x^3) vecI.` Write a suitable SI unit for A. Write an experssion for. the potential in the region assuming the potential at. infinity to be zero.

Options

A. `(A)/(2x^3)`
B. `(A)/(2x)`
C. `(A)/(2)`
D. `(A)/(2x^2)`

Answer

D

Explanation

The SI unit of electric field is `NC^(-1) or V m^(-1)`
Thus, the unit of A is `N m^3 C(-1)` or `V m^(-2)`
`V(x,y,z)=- int_(oo)^(x,y,z) vceE Vecdr`
`=-int_(oo)^(x,y,z) (Adx)/(x^3) =(A)/(2x^2).`