V(x,y,z) = (Vo).e^[(-k|z|)].cos(kx)(adsbygoogle = window.adsbygoogle || []).push({});

Find the electric field everywhere. Sketch the electric field lines in the x − z plane.

Attempt:

∂V/∂x = -Ex

-Ex = -k(Vo).e^[(-k|z|)].sin(kx) Ex = k(Vo).e^[(-k|z|)].sin(kx)

---------------------------------------------

-Ez = -(Vo).k.e^[(-k|z|)].cos(kx) if z >=0

Ez = (Vo).k.e^[(-k|z|)].[cos(kx)] if z >=0

--------------------------------------------

-Ez = +(Vo).e^[(-k|z|)].cos(kx) if z<0

Ez =(Vo).e^[(-k|z|)].[-cos(kx)]

My problem is sketching the electric field lines. Any tips?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Electric Potential

**Physics Forums | Science Articles, Homework Help, Discussion**