Question

An RLC circuit consists of an AC voltage source with a maximum voltage of 101 Volts connected in series to a resistor, a capacitor, and an inductor. At the resonant frequency, the capacitive reactance is 15 Ohms. Also, at a factor of 1.2 times less than the resonant frequency, Irms is 4 amps. What is the Irms at the resonant frequency in amps?

Answer 1

From the last step find the value of R by putting 2f_rL = 1/(2f_rC) =15ohm you will get the value of resistance

R²= 318.8-45.5

R=16.53ohm

I_{rms(reson) =} V_rms / R = ^71.42 /_16.53 =4.32Ampere

x = 278 L = 15 ohm x = 22 - 15 ohm Curnorat at Resonance. yms eso 8,2 6,-0.25,= 0.87 so Current at Frequence f. (12 times less thus Resona) 101/02 Vyms If, = V2 + (xLxja - VR? +(2177,2 - I 4A = 1010 - VR? +2 17 +0.25. - 2 10 18x Ja