Hirophysics.com RC Circuits and its Physical Simulation Richard Robbins.

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Presentation transcript:

Hirophysics.com RC Circuits and its Physical Simulation Richard Robbins

Hirophysics.com 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)

Hirophysics.com 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  farads The differential equation of the RC circuit is solved by Euler’s method.

Hirophysics.com 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.

Hirophysics.com Charge due to voltages (t vs.q)

Hirophysics.com Current due to voltages (t vs. i)

Hirophysics.com Resistance due to voltages (t vs. R)

Hirophysics.com Charge due to capacitances (t vs. q)

Hirophysics.com Current due to capacitances (t vs. i)

Hirophysics.com Resistance due to capacitances (t vs. R)

Hirophysics.com Charge due to resistances (t vs. q)

Hirophysics.com Current due to resistances (t vs. i)

Hirophysics.com 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.