Asked by EMG

An RLC series circuit has a 2.60 Ω resistor, a 110 µH inductor, and a 70.0 µF capacitor.
(a) Find the circuit's impedance (in Ω) at 120 Hz.
(b) Find the circuit's impedance (in Ω) at 5.00 kHz.
(c) If the voltage source has Vrms = 5.60 V, what is Irms (in A) at each frequency?
(d) What is the resonant frequency (in kHz) of the circuit?
(e) What is Irms (in A) at resonance?

Answers

Answered by Damon
w = 2 pi f
impedance = sqrt [ R^2 + (wL-1/wC)^2 ]
if f = 120 Hz, w = 2 pi f = 754
impedance = sqrt [2.6^2 + (754*110*10^-6 - 1/754*70*10^-6 )^2]

repeat for new f

i = V/impedance = 5.6/impedance

at resonance w = 2 pi f = 1/sqrt(LC)
then
impedance = sqt [ R^2 + ( sqrt L/C - sqrt L/C)^2) ] = R
so i = V/R
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