# Finding capacitance

I need guidance calculating the capacitance between two infinitely parallel long wires that are parallel to a large flat metal sheet.

Condition:

V = 0 at the origin.

Both plane and lines have uniform charge.

Left line: Negative charge density

Right Line: Positive charge density

Radius of lines:a

Distance between lines: L

Distane between lines and plane: D

My attempt.

Find Electric field (E_{l}) due to both lines at point P

Find Electric field (E_{p}) due do plane at point P

E at point P = E_{P} = E_{p} + E_{l}

ΔV(x,y) = -∫E_{P}dy + C

Now solve for C: C = ΔV(0,0) +∫E_{P}dy|_{(0,0)}

Finding capacitance:

C = Q/ΔV

ΔV =

… not sure what to do from here…

Is my approach correct so far?

http://ift.tt/1pvpfGf

## Leave a comment