- #1
Miike012
- 1,009
- 0
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 (El) due to both lines at point P
Find Electric field (Ep) due do plane at point P
E at point P = EP = Ep + El
ΔV(x,y) = -∫EPdy + C
Now solve for C: C = ΔV(0,0) +∫EPdy|(0,0)
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 (El) due to both lines at point P
Find Electric field (Ep) due do plane at point P
E at point P = EP = Ep + El
ΔV(x,y) = -∫EPdy + C
Now solve for C: C = ΔV(0,0) +∫EPdy|(0,0)
Finding capacitance:
C = Q/ΔV
ΔV =
... not sure what to do from here...
Is my approach correct so far?