In Reply to: So your humour is too far stretched. posted by cheap-Jack on March 6, 2007 at 09:19:48:
I neglected to remember that the calculation of capacitance between two parallel single strand conductors is so simple because the boundary condition of voltage is constant on a conducting surface. The electric field times a surface area that surrounds one wire times the permitivity equals the charge on that wire. Remember Gauss law with E normal to the surface area.) Thus E=charge density divided by 2 pi r where r is the distance from the centre of the wire. Since this electric field is -gradient of voltage, and the field does not vary along the axis of the wire or with the angle around the wire, the gradient is line charge density divided by 2 pi r. integrate by dr and get the natural log with limits of integration from the closest point of one wire to the closest point of the other wire. You can even break up the integral for dielectric constants of insulation on the wires. You get the idea. Please forgive me for not making so punctilious as to explain this before.
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Follow Ups
- Re: So your humour is too far stretched. - Barney Vincelette 17:00:15 03/07/07 (1)
- No problem. AA is a space for free idea exchanges. (nt) - cheap-Jack 09:06:05 03/12/07 (0)