# Drawing field lines with MATLAB

1. Apr 26, 2011

### Minakami

1. The problem statement, all variables and given/known data
Consider a uniformly charged half spherical shell. The total charge is Q and the radius is R.

a) Calculate the electric field as a function of z for – 5R < z < 5R.
b) Draw equipotential curves in the xz-plane for – 5R < x, z < 5R with at least 8 equallyspaced
curves.

2. Relevant equations

3. The attempt at a solution
I solved for the electric fields in the region z>R and z<R so part a) is done.
I'm trying to plot this field and the equipotential lines in MATLAB but I couldn't figure out how. I haven't really used MATLAB before but I think MATLAB can definitely do this.
I understand that the equipotential lines are perpendicular to the electric field lines. So maybe I can use this fact to draw the equipotential lines...

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2. Apr 27, 2011

### viscousflow

Investigate the function 'quiver3'. However, I am not sure if it accepts any other coordinate system other than cartesian.