How Do You Calculate the Electric Field from the Electric Potential V=4x²?

[Kartik.]

The electric potential V at any point (x,y,z) in space is given by V=4(x^2) volts (all in meters). The electric field at the point (1m,0m,2m) is?

-->
dV= - (E.dr),
magnitude of r =sqrt(5),
V at the point will be 4, which => 4=-*integration sign*E.dr
how to solve this?

 

[ehild]

Do it backwards. The electric field is equal to the negative gradient of the potential. Do you know what "gradient" is?

ehild

 

[Kartik.]

Definitely :P Thanks.