In the circuit shown in Figure P3.5, the source and node voltages are VS1 = VS2 = 110V VA = 103V VB = ?107V Determine the voltage across each of the five resistors.
Known quantities:
Circuit shown in Figure P3.5 with source and node voltages:
Find:
The voltage across each of the five resistors.
Analysis:
Assume a polarity for the voltages across R1 and R2 (e.g., from ground to node A, and from node B to ground). R1 is connected between node A and ground; therefore, the voltage across R1 is equal to this node voltage. R2 is connected between node B and ground; therefore, the voltage across R2 is equal to this voltage.
The two node voltages are with respect to the ground which is given.
Assume a polarity for the voltage across R3 (e.g., from node B to node A). Then:
Assume polarities for the voltages across R4 and R5 (e.g., from node A to ground , and from ground to node B):
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