FOR A GIVEN CIRCUIT LET
B
NUMBER OF BRANCHES
N
NUMBER OF NODES
THE MINIMUM REQUIRED NUMBER OF
LOOP CURRENTS IS
MESH CURRENTS ARE ALWAYS INDEPENDENT
AN EXAMPLE
TWO LOOP CURRENTS ARE
REQUIRED.
THE CURRENTS SHOWN ARE
MESH CURRENTS. HENCE
THEY ARE INDEPENDENT AND
FORM A MINIMAL SET
KVL ON LEFT MESH
KVL ON RIGHT MESH
USING OHM’S LAW
REPLACING AND REARRANGING
IN MATRIX FORM
THESE ARE LOOP EQUATIONS FOR THE
CIRCUIT
DETERMINATION OF LOOP CURRENTS