First Order RL and RC Circuit 7.1-7.4,7.5, 7.7. Natural Response Definition: The currents and...
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Transcript of First Order RL and RC Circuit 7.1-7.4,7.5, 7.7. Natural Response Definition: The currents and...
![Page 1: First Order RL and RC Circuit 7.1-7.4,7.5, 7.7. Natural Response Definition: The currents and voltages that arise when stored energy in an inductor or.](https://reader035.fdocuments.us/reader035/viewer/2022062417/5516e341550346fe558b45fa/html5/thumbnails/1.jpg)
First Order RL and RC Circuit
7.1-7.4,7.5, 7.7
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Natural Response
• Definition: The currents and voltages that arise when stored energy in an inductor or capacitor is suddenly released to a resistive network
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RL Circuit
The switch opens at t=1S
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Switch Setting
The switch opens at t=1
Name of switch: sw_topenROPEN=1 MohmsRCLOSE=0.01 Ohms
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Transient Simulation
Run a transient simulation from 0 to 10 s
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Use Probe to Measure V
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Simulation Results
For t<1S, current (1A) flow through L1, generating a VIN and VOUT=0.At t=1S, the current through L1 is 1A, so Vout=1V.At t>1S, VIN=-1V.What if you increase R2 by 10 times?
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R2=1 Ohms
R2=10 Ohms
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L/R Constant
• The rate that Vout drops to zero is related to L/R time constant. –The smaller the L/R time constant,
the faster Vout drops to 0. –R2=10Ohms results in a circuit that
drops to zero faster than R2=1 Ohm
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Natural Response of RC Circuit
C1 is charged until about t=2. C1 starts to charge at t=5.
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Simulation Results
VX=Vout after t=5!VX does not discharge between t=2-5S.
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Purposely Discharge C1 Between Switching Events
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Step Response
• Definition: The currents and voltages that arise when energy is being acquired by an inductor or capacitor due to the sudden application of dc voltage or current source.
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Step Response of an RL Circuit
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Vout & Vin
t‘=0
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Measurement Result
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Step Response of a RC Circuit
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Step Response of an RC Circuit
Note that the voltage across the capacitoris initially zero because Q can not change instantaneously.
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C=1 F
C=2 F
V=Q/C
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Experiment 1
(Large)
No Voltage divider
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Experiment 2
(change to 3)
(Takes longer go charge,Less current is available)
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R5
At DC, the op-amp is not able to provide feedback. Thus V- is not equal to V+.
A resistor should be added in parallel of C1 so as to providefeedback at DC.
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Select value of R5
This term should be minimized.
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Choice of R5
R5=330 KohmsC1=92 nF
R5=1 KohmsC1=92 nF