Engineering Board Exam Reviewer · RC Circuits · hard

In the series-parallel RC circuit shown, a 150 V (rms) source with =2000 rad/s drives R1=45, , R2=150, , and C=10, F. Resistor R2 is in parallel with the capacitor. Find the total impedance of the circuit in polar form.

  1. 75 -36.9°,
  2. 75 36.9°,
  3. 201 -14.4°,
  4. 92.4 0°,

Answer

A. 75 -36.9°,

Solution

XC=1/ C= 1(2000)(10, F)=50, . The parallel branch is Zp=R2(-jXC)/R2-jXC=15-j45, and ZT=R1+Zp=60-j45, =75 -36.9°, .

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