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Sinusoidal Steady State By: By: By: John Getty Laboratory Director Engineering Dept. University of Denver Denver, CO Purpose: Purpose: Purpose: Purpose: Examine the sinusoidal steady-state response of a resonant circuit in the phasor domain. Equipment Required: Equipment Required: Equipment Required: Equipment Required: 1 - HP 34401A Digital Multimeter 1 - HP 33120A Waveform Generator 1 - HP 54600B Oscilloscope 1 - Protoboard 1 - 1-k Resistor 1 - 0.1- μ F Capacitor 1 - 10-mH Inductor Prelab: Prelab: Review Section 13.6 in the text * . a. Find the s-domain driving-point impedance Z EQ (s) and the voltage transfer function T V (s) for the circuit of Fig. 1. Find the undamped natural frequency ϖ O and the damping ratio ζ . b. In your journal, draw the circuit of Fig. 1 labeling the elements with their impedance (see Eq 13-19 in the text for the impedance equations). Find the phasor domain driving- point impedance Z EQ (j ϖ ), the frequency-response gain function |T V (j ϖ )| and the phase response θ ( ϖ ) = T V ( ϖ ) for the circuit of Fig. 1. Compute the resonant frequency, f O . Procedure: Procedure: Procedure: Procedure: 1. Prepare a data table and build the circuit a. Prepare a data table with four columns, labeled frequency, v in , v out , and phase angle q. Starting at a frequency of 50 Hz, fill in the frequency column in standard logarithmic frequency steps (1, 2, 5, 10 etc.) just short of the computed resonant frequency, f O . Mark the next line in the data table with the notation “resonance,” then continue in standard logarithmic frequency steps for two more decades.

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b. Build the circuit of Fig. 1 on a protoboard.
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• Winter '19
• Frequency, Complex number, Lissajous Pattern

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