Solve

Guides

0

Question

V0 is the potential at the origin in an electric field. →E=Ex→i−Ey→j. The potential at the point (x,y) is:

- V0−xEx+yEy
- V0+xEx+yEy
- √x2+y2√E2x+E2y−V0
- xEx+yEy−V0

Open in App

Solution

Verified by Toppr

V(x1)−V(x2)=∫x2x1Edx.

Now potential change in x direction

Vx(x)−Vx(o)=∫oxExdx=−Exx.

Vx(x)=Vx(o)−Exx

Potential change in y direction

Vy(y)−Vy(o)=∫oy(−Ey)dy=+Eyy

Vy(y)=Vy(o)+Eyy

Now total potential at (x,y)

=Vx+Vy

=Vx(o)−Exx+Vy(o)+Eyy

=Vo−xEx+yEy

Was this answer helpful?

0