Assignment 2 AC IMPEDANCE CIRCUITS Foundation Electronics Michael Johnson Assignment #2 – - OBJECTIVE 1. Complete the calculations for the measurement of output magnitude and phase for AC impedance circuits. 2. Use these calculations in Lab #5 for the measurement of the same AC impedance circuits. EQUIPMENT The following equipment will be required for this assignment: - 1. Computer/Laptop THEORY Let the LAST TWO digits of your student ID number be taken as digits "A" and "B" (A is the second-last digit, B is the last digit). Use these values to set the frequency and amplitude of the sine wave(s) described below. The typical sine wave is represented as follows: - v(t) v(t) = Vp sin(wt) Vpp Where VP is the maximum/peak voltage of the sine wave (with voltage, V, represented on the Y axis), t is time (represented on the X axis), o = 2πf is the frequency component of the waveform (with f = 1/T being the frequency or number of cycles per second of the waveform). PROCEDURE Part 1 - RC Circuit Calculations • Consider the following circuit, shown in Figure 1: - Z₁ vi(t) 10kQ vo(t) Vac R с 1nF HH Figure 1-Combination Resistor-Capacitor Circuit • Assume that the input signal, Vac(t), is a SINE wave input. Z₂ • • • • Sine Wave Amplitude: - Set the amplitude, VP, of your sine wave input to be (1 + 0.AB) Volts. Sine Wave Frequency: - Set the frequency, f, of your sine wave input to be (10+A) kHz. You can assume the offset for the sine wave is OV (i.e. it is centered on the X axis) and you can assume the input phase for the sine wave is 0 degrees (i.e. the sine wave starts climbing in its positive half cycle when time t=0). Showing ALL of the calculations in your assignment solution/submission, calculate/determine the amplitude and phase of the output sine wave, Vo(t), for the circuit shown above. Express this output waveform as a sine wave in the format Vo(t) = Vx sin (2πft + q), where Vx is the magnitude of the output sine wave and q is the phase of the same sine wave. Q Part 2 - RL Circuit Calculations Consider the following circuit, shown in Figure 2: - Vac vi(t) Z1 10ΚΩ vo(t) R Figure 2-Combination Resistor-Inductor Circuit ele 100mH Z2 • Assume that the input signal, Vac(t), is a SINE wave input. • Sine Wave Amplitude: - Set the amplitude, VP, of your sine wave input to be (1 + 0.AB) Volts. • Sine Wave Frequency: - Set the frequency, f, of your sine wave input to be (10+A) kHz. • • You can assume the offset for the sine wave is OV (i.e. it is centered on the X axis) and you can assume the input phase for the sine wave is 0 degrees (i.e. the sine wave starts climbing in its positive half cycle when time t=0). Showing ALL of the calculations in your assignment solution/submission, calculate/determine the amplitude and phase of the output sine wave, Vo(t), for the circuit shown above. Express this output waveform as a sine wave in the format Vo(t) = Vx sin (2πft + ), where Vx is the magnitude of the output sine wave and q is the phase of the same sine wave. RESULTS For your assignment report, you should include the two sets of calculations for the output sine wave(s) in Part 1 and Part 2 of the assignment here.