Electrical Circuits Essay, Research Paper

Unlike the last lab on RL, RC and RLC circuits, we measured the frequency

characteristics of these circuits. We observed the steady-state sinusoidal

response of an high-pass RL circuit, a low-pass RC circuit and a band-pass RLC

circuit. PROCEDURE 10.4.1 Steady-State Sinusoidal Response of High-Pass RL

Circuit This part of the lab consisted of constructed an high-pass RL circuit

shown below in Figure 10.1. We used the scope to measure the phase and the gain

of the circuit. Also, we used the Gain-Phase meter to measure the phase and the

gain of the circuit. Figure 10.1: High-pass RL circuit. A Bode plot is shown

below from the measurements of the scope, gain in dB versus log f and,

separately, phase shift in degrees versus log f. 90 Y = 90? 20log|jw| -20log

|1+j (w/170212)| AdB,q 0 -90 -b = -tan-1(w/170212) 170212 log f 10.4.3

Steady-State Sinusoidal Response of Low-Pass RC Circuit We did the exact same

procedure as above except the data was for a low-pass RC circuit. This circuit

is shown below in Figure 10.2. Figure 10.3: Low-pass RC circuit A Bode plot is

shown below from the measurements of the gain-phase meter, gain in dB versus log

f and, separately, phase shift in degrees versus log f. 90 -20log |1+j (w/2500)|

AdB,q 0 -90 -b = -tan-1(w/2500) 250 log f 10.4.5 Steady-State Sinusoidal

Response of Band-pass RLC Circuit Again, the exact same procedure as above was

done for this circuit. This circuit, a band-pass RLC circuit, is shown below in

Figure 10.3. Figure 10.3: Band-pass RLC circuit A Bode plot is shown below from

the measurements of the gain-phase meter, gain in dB versus log f and,

separately, phase shift in degrees versus log f. @ 1 kW 90 -20log |1+j

(w/461265)| AdB,q 0 -90 -b = -tan-1(w/461265) 461265 log f @ 10 W 90 -20log |1+j

(w/46126)| AdB,q 0 -90 -b = -tan-1(w/46126) 46126 log f WRITE-UP 2. Compare the

theoretical transfer functions with what what you measured: My theoretical

transfer function agrees with my measured values. 3. For the two RLC circuits,

calculate the bandwidth in Hz (2pb) the center frequency wo and the quality Q

from your measured data. With 1 kW: Bandwidth = 1.33E1012 wo = 461265 rad/sec Q

? 5 With 10 W: Bandwidth = 1.33E1011 wo = 46126 rad/sec Q ? 4 How do they

agree with your theoretically-calculated values? The values are close. Can you

explain any differences? There really is no difference. 4. Comment on the gain

from Vi and point A, especially near the resonant frequency wo. A is between the

cutoff frequencies. CONCLUSION This lab was a difficult one due to the fact that

I forgot what a Bode plot was. Also, we only had one day to work on it. As a

result, we had to take data really quick in order to finish in time. I do not

know if our data is right.

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