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RC Circuits and its Physical Simulation
Richard Robbins
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The Basics for RC Circuits
• The circuit that has resistors and capacitors
• The circuit that is used for timing or switching
• The differential equation is given as follows:
RI(t) + 1/C Q(t) = V(t)
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Physical Values
The initial charge is 0 coulomb.
The resistance of the resistor is 10,000 Ohms.
The voltage is 10 volts.
The capacitance of the capacitor is 1.010-6 farads
The differential equation of the RC circuit is solved by Euler’s method.
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Results
• Each graph is shown as time-dependent on the related physical values, such as charges, voltages, currents, and resistances.
• One of the variables is varied and the others are kept constant.
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Charge due to voltages (t vs.q)
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Current due to voltages (t vs. i)
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Resistance due to voltages (t vs. R)
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Charge due to capacitances (t vs. q)
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Current due to capacitances (t vs. i)
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Resistance due to capacitances (t vs. R)
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Charge due to resistances (t vs. q)
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Current due to resistances (t vs. i)
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Conclusions
According to the computational results:
• The charge accumulation in the capacitor depends on voltages and resistances as known.
• It is interesting to see the current dropping in the first time segment.
• The resistance seems going to stable after a second.