The Inspection Method
In the inspection method the constants R_{11}, R_{12}, . . . ,
R_{mm} and V_{1}, V_{2}, . . . , V_{m}
in the system of equations:
are gotten according to the following rules:

To get R_{jj}, where j = 1, 2, ... m (ie. the diagonal R 's),
go around loop j and sum up the resistances.

To get V_{j}, where j = 1, 2, ... m (ie. the constants on the
righthandside), go around loop j and sum up the source (battery) voltages. Source voltages
whose polarity points opposite to the direction of loop current j count as negative.

To get R_{jk}, where j is not equal to k (ie. the offdiagonal R 's),
sum up the loads that loops j and k have in common. If the loop currents j and
k are going in opposite directions through those loads, then
also attach a minus sign to R_{jk}.
Return to Loop Analysis of Electric Circuits
