Engineering Board Exam Reviewer · Circuit Theorems in AC Analysis · hard
The AC bridge shown is balanced (zero detector current) with Z1=100, , Z2=300, , and Z3=90-j60, . Find the unknown impedance Z4 in rectangular form.
- 30-j20,
- 231+j154,
- 270+j180,
- 270-j180,
Answer
D. 270-j180,
Solution
At balance the detector voltage is zero, so Z1/Z3=Z2/Z4, i.e. Z1Z4=Z2Z3. Z4=Z2Z3/Z1=(300, )(90-j60, )/100, =270-j180, .
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