Tuesday, April 25, 2017

4/18/2017 Class activities + "Passive RC Circuit Natural Response" + "Passive RL Circuit Natural Response"

4/18/2017

Class Activities:

Calculating the equivalent inductance of multiple inductors:

Calculating the voltage as a function of time in the case of discharging capacitor in a source free RC circuit:

Calculating the Energy dissipated by the resistor in a source free RC circuit after time of 5 time constants ( Which is where engineers say is the time needed to completely discharge a capacitor):

Calculating the maximum switch frequency of a capacitor:

Another problem calculating voltage as a function of time in the case of discharging capacitor in a free source RC circuit:

Calculating the current of a discharging inductor in a source free RL circuit:




 "Passive RC Circuit Natural Response":

Pre-lab:
Calculating the theoretical time to charge and discharge the capacitor in the designated circuit and a diagram of the circuit:

Value of the first resistor (theoretical 2k ohms):


Value of the second resistor (theoretical 1k ohm):


Oscilloscope on the charging capacitor:


Oscilloscope on the discharging capacitor:


Oscilloscope on the square wave:

a gif of the square wave:



The values:


maximum potential difference in the capacitor when it is fully charged:

values:



"Passive RL Circuit Natural Response"

Prelab:




Oscilloscope for the square wave:

(In the wavegen square wave frequency is set to 1.8khz):




Summary:
- 5 time constant is a good estimation both theoretically and experimentally for time to completely discharge a capacitor
- Trigger switch is a good tool to utilize in waveform if we want to record something that happens once in a short period of time, such as charging or discharging a capacitor.
- We could calculate inductance from the time for the inductor to discharge and the thevenin resistance of the circuit (L~R*t_discharge/5)



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