5-07: Impedance

Impedance

In this lab we measured impedances of resistors, capacitors, and inductors. We then compared them to their expected values. The impedance of a resistor is just Z = R, so the impedance is really just the resistance of the resistor. For a capacitor, the impedance can be calculated as Z = 1/(jωC) , where j is the imaginary component, ω is the angular velocity of the input, and C is the capacitance of the capacitor. The impedance of an inductor is Z = jωL, where L is the inductance of the inductor. The phase angles for a resistor, capacitor, and inductor are 0°, -90°, and 90°, respectively.

The impedance and admittance of resistors, capacitors, and inductors.

Pre-Lab: We determined the resistor impedance = 47 + R , the real resistor values came out 48.7 ohm and 100.1 ohm, and therefore the expected impedance for resistors = 148.8 ohm  Inductor impedance = 48.7 + 0.00628j  Capacitor impedance = 48.7 - 1711.34j 

Output for circuit with input frequency of 1 KHz

part A: When frequencies are: 1kHz, 5kHz, 10kHz the V and i. And the time different is 0.

Output for circuit with input frequency of 5 KHz

Output for circuit with input frequency of 10 KHz

Part B: When frequencies are: 1kHz, 5kHz, 10kHz the V , i, time different  and z.

Output for circuit with input frequency of 1KHz

Output for circuit with input frequency of 5 KHz

Output for circuit with input frequency of 10 KHz

In the three graphs we see that the current lags the voltage by 90° as expected. Also, the voltage across the inductor increases as the frequency increases.

Part C: When frequencies are: 1kHz, 5kHz, 10kHz the V , i, time different  and z.

Summary: In this lab,  we went over impedance and admittance, and how to solve for them within circuits involving Resistors, Inductors, and Capacitors. We also did a lab to see how impedance works in real life.