The potential field of an electric field `vecE = (yhati + yhati)` is

Options

A. `V = - xy +` constant
B. `V = - (x + y) +` constant
C. `V = - (x^(2) + Y^(2)) +` constant
D. `V =` constant

Answer

A

Explanation

`dV = - vecE. dvecr`
`= -(y hati + x hatj), (dxhati + dy hatj)`
`= - (ydx + xdy) = - d(xy)`
Intergrating , we get `V = - xy +` constant .