Set the real and imaginary values of the four impedances as well as the magnitude and phase of the voltage and current sources.
Step 1. Click on the circuit to pick a reference node and label each remaining node with a subscripted value of voltage: \(\small{V_1}\), \(\small{V_2}\), and so on.
Step 2. Click on the circuit to assign optional directions for the currents in all branches.
Step 3. Apply KCL at each node except the reference.
KCL at Node 1: \( I_1+I_2+I_3 = 0 \rightarrow \frac{V_1-E}{Z1}+\frac{V_1}{Z2}+\frac{V_1-V_2}{Z3}=0 \rightarrow \)
KCL at Node 2: \( I+I_4=I_3 \rightarrow I+\frac{V_2}{Z4}+\frac{V_2-V_1}{Z3}=0 \rightarrow \)
Step 4. Solve the resulting equations for the nodal voltages.
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