I am a little bit confused with how to find the electric potential everywhere.
I have this electric field:
E=x(x^2)+y(y^2)+z(2*z) where x,y,z are unit vectors.
Find the electric potential everywhere?
I know that V=-[integral] E*dL
But the fact that it is said "everywhere" confused me. I understand better when everywhere is used with two concentric cylinders or spheres but in the plane like this ..??
I guess I just have to do the integration without boundary.
Please, can someone tell me what I can do?
V(x,y,z) = (1/3) x^3 + (1/3) y^3 + z^2
But since braddy said that V=-[integral] E*dL, it's the negative integral, so:
V(x,y,z) = -(1/3) x^3 - (1/3) y^3 - z^2