when the capacitor discharges. from t= 1s to t= 10s during its t (s) 1 V(V) 9.4 7.31 5.15 Use Matlab/Octave to do the fol *In all graphs add title, legend :

Delmar's Standard Textbook Of Electricity
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Chapter19: Capacitors
Section: Chapter Questions
Problem 2PA: You are an electrician working in an industrial plant. You discover that the problem with a certain...
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B
R-2000 Q
Consider the following RC circuit with an unkown
capacitance C. In this circuit, the capacitor charges
when the switch is connected to B and discharges
through the resistor when the switch is connected to
А.
The voltage across the capacitor decreases with time
when the capacitor discharges. The following table shows the voltage across the capacitor
from t = 1s to t= 10s during its discharge in an RC circuit experiment.
t (s)
1
2
| 3
4
7
9
10
V(V)
9.4
7.31
5.15
3.55
2.81
2.04
1.26
0.97
0.74
0.58
Use Matlab/Octave to do the following:
*In all graphs add title, legend and axis labels
1. Estimate the time at which the voltage V=5.0 V.
2. Estimate, using spline interpolation, the voltage V1 corresponding to 30 different
values of time, t between 1 to 10s.
3. You can calculate the current in the circuit using Ohm’s law (I= V/R) at each time,
1 Using the interpolated voltage data in (2), calculate the current at each time.
4. From the current () versus time data in (3), calculate the maximum charge on the
capacitor (Qo), where Qo is given by:
tmax
Qo
where tesex is the maximum time upto which the measurements are taken (see Table above).
Transcribed Image Text:B R-2000 Q Consider the following RC circuit with an unkown capacitance C. In this circuit, the capacitor charges when the switch is connected to B and discharges through the resistor when the switch is connected to А. The voltage across the capacitor decreases with time when the capacitor discharges. The following table shows the voltage across the capacitor from t = 1s to t= 10s during its discharge in an RC circuit experiment. t (s) 1 2 | 3 4 7 9 10 V(V) 9.4 7.31 5.15 3.55 2.81 2.04 1.26 0.97 0.74 0.58 Use Matlab/Octave to do the following: *In all graphs add title, legend and axis labels 1. Estimate the time at which the voltage V=5.0 V. 2. Estimate, using spline interpolation, the voltage V1 corresponding to 30 different values of time, t between 1 to 10s. 3. You can calculate the current in the circuit using Ohm’s law (I= V/R) at each time, 1 Using the interpolated voltage data in (2), calculate the current at each time. 4. From the current () versus time data in (3), calculate the maximum charge on the capacitor (Qo), where Qo is given by: tmax Qo where tesex is the maximum time upto which the measurements are taken (see Table above).
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