Answer to Question #193613 in Electrical Engineering for Ryan

Question #193613

An impedance coil whose resistance and inductance are 18 ohms and 3.82 mH, respectively, is connected in parallel with a series combination of a 5.3 uF capacitor and a variable resistor. For what value of resistance will the circuit be in resonance at 1000 cps?


1
Expert's answer
2021-05-17T18:21:01-0400

Let series resistor and inductor combination be

Let series capacitor and resistor combination be


When these are connected in parallel the total impedance should be resistive, that is the condition for resonance.


i. e imaginary term of parallel combination of =0



Simplifying we have,



Substituting given inductor, capacitor resistor and frequency values we have,


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