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Question:

A parallel RLC circuit consists of a 3.7 mH inductor, a 4.7 ?F capacitor, and a 1.4 ? resistor driven at 150 Hz?

A parallel RLC circuit consists of a 3.7 mH inductor, a 4.7 ?F capacitor, and a 1.4 ? resistor driven at 150 Hz:1.) Calculate the reactance of each component at the driving frequency (f 150 Hz, but youprobably want ω).2.) Calculate the impedance Z for this circuit. Remember that you need to use the AC versionof Ohm’s law appropriately, since the current is common.

Answer:

L 3.7 mH C 4.7 μF R 1.4 Ω f 150 Hz Reactance of i) Capacitor X_c 1/(2πfC) 1/(2*3.14*150*4.7*10^-6) 225.87 Ω ii) Inductor X_? 2πfL 2*3.14*3.7*150*10^-3 3.4854 Ω iii) Resitor X_r R 1.4 Ω ___________________________ Impedance of circuit Z sqrt((X_? - X_c)^2 - R^2) Z sqrt((3.4854 - 225.87)^2 - 1.4^2) 222.38 Ω
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