Today we first learn about how to calculate the omega_0 and the cutoff omegas of a parallel RLC circuit. At the cutoff omegas, the power is half the max power which occurs at omega_0.
We then were assigned to find the voltage gain of a circuit
We also learn how to calculate cutoff frequency of a circuit
"Passive RL Circuit Response" lab:
for the prelab, we were told to find the cutoff frequency of the RL circuit, which we found to be at 10^5/2pi
For RL circuits, the high pass filter occurs when we take the output of the inductor, and low pass occur when we take the output of the resistor.
Our obtained graph when it is low frequency (at omega=omega_c/10)
Graph when it is high frequency (at omega = 8* omega_c)
Note that the red(math channel) is for the input voltage, yellow is the output voltage of the resistor, and the blue is the voltage of the capacitor.
Comparing the experimental and theoretical values:
Conclusion:
From this experiment, we could see that the phase shift between the input voltage and the resistor voltage is close to 0 at low frequency, and the phase shift between input voltage and the inductor voltage is close to 0 at high frequency. There is a 90 degree shift between input voltage and resistor voltage at high frequency (resistor voltage is leading by 90), and 90 degree shift between input voltage and inductor at low frequency( inductor voltage is lagging by 90)
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