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Apply node analysis to this circuit

There are 4 non reference nodes

There is one supernode

There is one node connected to the

reference through a voltage source

We need three equations to compute

all node voltages

…BUT THERE IS ONLY ONE CURRENT FLOWING THROUGH ALL COMPONENTS AND IF

THAT CURRENT IS DETERMINED ALL VOLTAGES CAN BE COMPUTED WITH OHM’S LAW

STRATEGY:

1. Apply KVL

(sum of voltage drops =0)

2. Use Ohm’s Law to express

voltages in terms of the “loop current.”

RESULT IS ONE EQUATION IN THE LOOP CURRENT!!!

SHORTCUT

Skip this equation

Write this one

directly