1. Example 4.2 Using the Node-Voltage Method
Use the node-voltage method of circuit analysis to find the branch currents in the circuit shown
ECE 201 Circuit Theory 1

2. Determine the number of essential nodes
There are two essential nodes. Thus there will be one node-voltage equation.
Identify the nodes as “ground” and “1”.
ECE 201 Circuit Theory 1

3. Identify the currents “out of the node(s)”
Write the node-voltage equation and solve for v1.
ECE 201 Circuit Theory 1

4. Solve for the branch currents
ECE 201 Circuit Theory 1

5. Both sources deliver power
Find the power associated with each source, and state whether the source is delivering power or absorbing power.
For the 50 V source,
For the 3A current source,
Both sources deliver power
Total Power = 220W
ECE 201 Circuit Theory 1

6. Check the power dissipated by the resistors.
ECE 201 Circuit Theory 1