Problem 1-12: Using Voltage Sources to Determine Node Voltages

Determine the power of $R_1, R_2$ and $Vs_1$ . (Hint: there is no need to use nodal analysis; voltages between nodes can be easily found by the voltage sources.)

Solution

$V_{R_1}= Vs_1 = 10v \rightarrow P_{R_1}=\frac{V_{R_1}^2}{R_1}=50 W$

Problem 1-11: Solving a Circuit with Three Nodes by the Nodal Analysis

Solve the circuit by nodal analysis and find the power of $Is_1$ .

Solution
a) Choose a reference node, label node voltages:

Problem 1-10: Solving by Nodal Analysis - Circuit with Four Nodes

Solve the circuit by nodal analysis and find $V_a$ .

Solution
a) Choose a reference node, label node voltages: