Impedance and Analysis

In this lab we learned that in order to have a real inductor a resistor has to be added in series. Using a DMM we measured the resistance in our unknown inductor to be 2 ohms. We applied an AC current in order to determine the capacitance but in order to not damage the equipment we added another resistor to limit the current which was measured at 67.6 ohms. We build the circuit. VIN = 2.88V IIN = 42.3 mA

Computation:
Z = V/I = 72.2
Rext + RL + ZLj
Z = sqrt((Rext + RL)^2 + ZL^2)
w = 2(pi)(1000)
72.2^2 =sqrt(68.9^2+ZL^2)     ZL =21.63 ohms = wL    L = 3.44*10^-3
wL = 1/wC    C= 1/w^2L = 7.36*10^-6 H

Vppch1 = 2 mV

Vppch2 = 1.5 V

delta t = 10 ms

There is a phase difference 90

Frequency (Hz)	Vin (V)	Iin  (mA)	Zin (Ω)
100	4.63	19.9	232.7
500	3.21	39.2	81.9
1 k	2.96	40.6	72.9
5 k	2.90	38.6	75.2
10 k	2.96	32.8	90.2