week 12 day 1

Lecture 

ELI the ICE man: In a resistor, current and voltage are always in phase.In Inductor (L) voltage (E) leads current (I). In Capacitor(C), Current (I) leads voltage (E).

Impedance of Resistor (ZA), capacitor (Zc), and Inductor (ZL) when 𝝎→∞ (DC circuit)

 Solving AC circuit using Impedance :

 Impedance Lab

Pre Lab :

Calculating current and voltage across 3 different type pf component (resistor, Capacitor and Inductor) :

View of the Inductive Impedance Circuit, we measure voltage of both the resistor and voltage across Inductor

View of Capacitive Impedance circuit , we scope both the voltage across the capacitor and resistor

To calculate Input voltage, we simply added the 2 measured voltage together, to Measure the input current we divide the voltage of resistor with 47.

The phase shift between the input voltage and input on the resistor at 1 KHz, 5KHz, and 10KHz:

The phase shift between the input voltage and input current with Capacitive Impedance at 1 kHz, 5kHz, and 10 kHz:

The phase shift between the input voltage and input current with Inductive Impedance at 1 kHz, 5kHz, and 10 kHz:

Values of phase shift and the voltage across 100-ohm resistor, 1 µH, and 100 nF : 

Summary 

In a purely resistive AC circuit, voltage and current are always in phase. In Inductive Impedance (A+jB)  Voltage is leading Current. In Capacitive Impedance (A-jB) Current is leading Voltage.

In our Lab compared 3 different type of  Impedance: purely resistive (100 Ohm ), Inductive (.001 mH Inductor) and capacitive (100 nF capacitor). In purely resistive circuits, the impedance is independent of its frequency. voltage are always in phase with current and their magnitude of voltage divided current is equal to the value of the resistor. In Inductive AC circuit, the frequency is directly proportional to its phase shift, the higher the frequency, the larger the phase shift difference between input current and voltage current. The impedance of inductive circuit also directly proportional to the frequency of the input voltage. from our data, we observe that higher frequency provides a higher drop across the inductor that was resulted from the higher impedance. In a capacitive circuit, the frequency is Inversely proportional to the phase shift and impedance. higher frequency resulted in smaller difference across voltage and current and a smaller voltage drop across the inductor.