For any circuit the number of independent equations containing emfs, resistances, and currents equals the number of branches. why?
The only type of circuit that branches is parallel. But there can be electric circuit with a combination of both parallel and series.
Thank you
EAch branch creates a loop. Therefore, the number of branch equation has to equal the number of loop equations.
1 answer
The number of loop equations is equal to the number of independent equations containing emfs, resistances, and currents. This is because each loop equation contains one emf, one resistance, and one current. Therefore, the number of independent equations containing emfs, resistances, and currents equals the number of branches.