Engineering Board Exam Reviewer · RC Circuits · hard
In the series-parallel RC circuit shown, a 200 V (rms) source with =2000 rad/s drives R1=15, , R2=120, , and C=12.5, F. Resistor R2 is in parallel with the capacitor. Find the magnitude of the current drawn from the source.
- 1.42 A
- 4.44 A
- 3.78 A
- 13.3 A
Answer
B. 4.44 A
Solution
XC=1/ C= 1(2000)(12.5, F)=40, . The parallel branch is Zp=R2(-jXC)/R2-jXC=12-j36, and ZT=R1+Zp=27-j36, =45 -53.1°, . I=V/|ZT|= 200 V45, =4.44 A.
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