3. Consider the RC circuit with a constant voltage source shown in the diagram below. The values of the resistor, capacitor, and input voltage are R = 50, C = 10 µF, and V = 6V, respectively. Assume that there is initially no charge on the capacitor before the switch is closed. Vo ↑i(t) R w C When the switch closes at time t = 0, the current begins to flow as a function of time according to the equation i(t) = ioenc where the initial current is given by Vo R As current flows, charge accumulates on the capacitor. The charge on the capacitor is related to the current by g(t) = 90 + ff" i(t') dt', == 0. The voltage drop across the capacitor is where go=0 is the initial charge at time t proportional to the capacitor's charge Vc(t) = 9(6) q(t) (a) (3 marks) Using integration, find the voltage drop across the capacitor as a function time. (b) (6 marks) Use MATLAB to make a graph that shows the voltage drop across the resistor VR(t) and the voltage drop across the capacitor Vc(t) as a function of time. The time scale must be chosen so that the entire output is clearly visible. Use the template file Assignment1TemplateQ1.m as the starting point for your MATLAB code.

Delmar's Standard Textbook Of Electricity
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Chapter20: Capacitance In Ac Circuits
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Problem 5PP: Three capacitors having capacitance values of 20F,40F, and 50F are connected in parallel to a 60 -...
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3. Consider the RC circuit with a constant voltage source shown in the diagram below. The
values of the resistor, capacitor, and input voltage are R = 50, C = 10 µF, and V = 6V,
respectively. Assume that there is initially no charge on the capacitor before the switch is
closed.
Vo
↑i(t)
R
w
C
When the switch closes at time t = 0, the current begins to flow as a function of time according
to the equation
i(t) = ioenc
Transcribed Image Text:3. Consider the RC circuit with a constant voltage source shown in the diagram below. The values of the resistor, capacitor, and input voltage are R = 50, C = 10 µF, and V = 6V, respectively. Assume that there is initially no charge on the capacitor before the switch is closed. Vo ↑i(t) R w C When the switch closes at time t = 0, the current begins to flow as a function of time according to the equation i(t) = ioenc
where the initial current is given by
Vo
R
As current flows, charge accumulates on the capacitor. The charge on the capacitor is related
to the current by
g(t) = 90 + ff" i(t') dt',
== 0. The voltage drop across the capacitor is
where go=0 is the initial charge at time t
proportional to the capacitor's charge
Vc(t) = 9(6)
q(t)
(a) (3 marks) Using integration, find the voltage drop across the capacitor as a function
time.
(b) (6 marks) Use MATLAB to make a graph that shows the voltage drop across the resistor
VR(t) and the voltage drop across the capacitor Vc(t) as a function of time. The time
scale must be chosen so that the entire output is clearly visible. Use the template file
Assignment1TemplateQ1.m as the starting point for your MATLAB code.
Transcribed Image Text:where the initial current is given by Vo R As current flows, charge accumulates on the capacitor. The charge on the capacitor is related to the current by g(t) = 90 + ff" i(t') dt', == 0. The voltage drop across the capacitor is where go=0 is the initial charge at time t proportional to the capacitor's charge Vc(t) = 9(6) q(t) (a) (3 marks) Using integration, find the voltage drop across the capacitor as a function time. (b) (6 marks) Use MATLAB to make a graph that shows the voltage drop across the resistor VR(t) and the voltage drop across the capacitor Vc(t) as a function of time. The time scale must be chosen so that the entire output is clearly visible. Use the template file Assignment1TemplateQ1.m as the starting point for your MATLAB code.
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