RC Circuits and its Physical Simulation

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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 1.0?10-6
  farads
• The differential equation of the RC circuit is
  solved by Eulers 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.