The Inspection Method

In the inspection method the constants R11, R12, . . . , Rmm and V1, V2, . . . , Vm in the system of equations:
are gotten according to the following rules:
  • To get Rjj, where j = 1, 2, ... m (ie. the diagonal R 's), go around loop j and sum up the resistances.

  • To get Vj, where j = 1, 2, ... m (ie. the constants on the right-hand-side), 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 Rjk, where j is not equal to k (ie. the off-diagonal 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 Rjk.

Return to Loop Analysis of Electric Circuits