Example 4.2 Using the Node-Voltage Method

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Presentation transcript:

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

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

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

Solve for the branch currents ECE 201 Circuit Theory 1

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

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