Engineering Board Exam Reviewer · Circuit Theorems in AC Analysis · medium

In the circuit shown, a 60 V 0° source feeds a series branch of R1=20, and XL=50, , followed by R2=30, in parallel with a capacitor of reactance XC=50, . Find the total impedance in polar form.

  1. 55.9 -41.2°,
  2. 55.9 41.2°,
  3. 50 0°,
  4. 67.8 47.6°,

Answer

B. 55.9 41.2°,

Solution

Zp=R2(-jXC)/R2-jXC=22.1-j13.2, . ZT=(R1+jXL)+Zp=42.1+j36.8, =55.9 41.2°, .

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