Engineering Board Exam Reviewer · Branch, Loop and Node Analyses · medium

In the circuit shown, I1=2 A, I2=1 A, R1=8, , R2=5, , and R3=2, . Use nodal analysis, with the bottom wire as the reference (0 V). Find the voltage at node B.

  1. 800 mV
  2. 400 mV
  3. 200 mV
  4. 600 mV

Answer

B. 400 mV

Solution

Node A: I1=VA/R1+VA-VB/R2 2 A=VA/8, +VA-VB/5, . Node B: VA-VB/R2=VB/R3+I2 A-VB/5, =VB/2, +1 A. Solving: VA=6.4 V and VB=400 mV.

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