Engineering Board Exam Reviewer · Circuit Theorems in AC Analysis · hard
In the circuit shown, V1=60 V 0° and V2=80 V 30° (the + marks are at the top), with Z1=30+j40, , Z2=50+j40, , and Z3=50-j20, . Using nodal analysis, find the voltage across Z2 (top node to the bottom rail) in polar form.
- 36.3 -31.7° V
- 34 -6.3° V
- 36.3 31.7° V
- 67.7 17.2° V
Answer
C. 36.3 31.7° V
Solution
Node equation at the top of Z2: VN-V1/Z1+VN/Z2+VN-V2/Z3=0, so VN=V1/Z1+V2/Z3/1/Z1+1/Z2+1/Z3=36.3 31.7° V.
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