- #1

Miike012

- 1,009

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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

Find Electric field (E

E at point P = E

ΔV(x,y) = -∫E

Now solve for C: C = ΔV(0,0) +∫E

Finding capacitance:

C = Q/ΔV

ΔV =

... not sure what to do from here...

Is my approach correct so far?

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 PFind Electric field (E

_{p}) due do plane at point PE at point P = E

_{P}= E_{p}+ E_{l}ΔV(x,y) = -∫E

_{P}dy + CNow 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?