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1. For a R-C-L circuit shown in Figure 1,
Figure 1
a) Calculate the impedance of the circuit measured from the input side. Express the impedance in the form of .
b) Calculate the gain= and express the ratio in the form of .
c) Sketch the amplitude and phase of the gain as a function of the angular frequency of the input voltage.
d) For an input voltage where the angular frequency is 2 x 5 kHz, and L= 20 mH, C==0.01 F, and R= 3 k, Sketch the wave form of input and output voltage as a function of time. The relative phase of the output and input must be clearly marked in the drawings.
Figure 1
a) Calculate the impedance of the circuit measured from the input side. Express the impedance in the form of .
b) Calculate the gain= and express the ratio in the form of .
c) Sketch the amplitude and phase of the gain as a function of the angular frequency of the input voltage.
d) For an input voltage where the angular frequency is 2 x 5 kHz, and L= 20 mH, C==0.01 F, and R= 3 k, Sketch the wave form of input and output voltage as a function of time. The relative phase of the output and input must be clearly marked in the drawings.
