Engineering Board Exam Reviewer · Branch, Loop and Node Analyses · medium
In the circuit shown, I1=4 A, I2=1 A, R1=25, , R2=40, , and R3=5, . Use nodal analysis, with the bottom wire as the reference (0 V). Find the voltage VAB between nodes A and B.
- 60 V
- 2.5 V
- 65 V
- 120 V
Answer
A. 60 V
Solution
Node A: I1=VA/R1+VA-VB/R2 4 A=VA/25, +VA-VB/40, . Node B: VA-VB/R2=VB/R3+I2 A-VB/40, =VB/5, +1 A. Solving: VA=62.5 V and VB=2.5 V. VAB=VA-VB=60 V.
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