I ONLY NEED PART E . All other parts were answered correctly. Answers are below
ID: 1649567 • Letter: I
Question
I ONLY NEED PART E . All other parts were answered correctly. Answers are below if needed. thanks
An RLC series circuit has a 2.70 resistor, a 160 µH inductor, and an 82.0 µF capacitor.
a) Find the circuit's impedance (in ) at 120 Hz. = 16.286
b) Find the circuit's impedance (in ) at 5.00 kHz. = 5.36
c) If the voltage source has
Vrms = 5.60 V,
what is Irms (in A) at each frequency?
Irms, 120 Hz= A = .344
Irms, 5.00 kHz= A = 1.045
d) What is the resonant frequency (in kHz) of the circuit? = 1.390
e) What is Irms (in A) at resonance?
Explanation / Answer
e)Given,
Vrms = 5.6 V ; R = 2.45 Ohm
At resonance, impedence in the circuit is equal to resistance since Xl = Xc, so
Z = R = 2.45 Ohm
Irms will be given by
Irms = Vrms/Z = Vrms/R
Irms = 5.6/2.45 = 2.074 A
Hence, at resonant frequency, Irms = 2.074 Amperes.
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