Extracting Resistance from the DC Conduction Solution
Resistance can be computed by finding the power loss in the conductors. Suppose that the nth source terminal is excited with 1 Amp, producing a volume distribution of currents Jn. The resulting Ohmic power loss P is given by the integral:
From circuit theory, the DC power loss in a resistor Rnn is given by:
Since In,= 1 Amp, the equations above imply that the self resistance is given by:
If multiple conduction paths exist, then the mutual resistance Rmn between paths m and n can be calculated from the formula:
