May 7. Impedance

Above is important formula to calculate impedance for each circuit elements.
Prelab
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 

Measurements for part A.

Circuit

This is the RR circuit at 1k frequency. Vt= 1.354 V, I=13.2 mA. 


This is the RR circuit at 5k frequency. Vt= 1.354 V, I=13.2 mA. 

This is the RR circuit at 10k frequency. Vt= 1.354 V, I=13.2 mA. 

Part2 predictions



circuit

This is the RL circuit at 1k frequency. Vt= 0.2652 V, I=40.05 mA. 

This is the RL circuit at 5k frequency. Vt= 1.0584 V, I=34.2 mA. 

This is the RL circuit at 10k frequency. Vt= 1.546 V, I =25.4 mA. 

Part3 predictions


circuit

This is the RC circuit at 1k frequency. Vt= 1.999 V, I =1.05 mA. 


This is the RC circuit at 5k frequency. Vt= 1.9774 V, I =4.955 mA. 


This is the RC circuit at 10k frequency. Vt= 1.924 V, I =9.475 mA. 

Summary:

Today, we analyze AC circuits. We find that a resistor AC circuit has no phase change between the voltage and current. The voltage leads the current by 90° in a circuit with an inductor and the current leads the voltage by 90° in a circuit with a capacitor. We learn that circuit elements can be represented as impedance.