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This is a lab Name Date RC CIRCUIT SIMULATION Introduction In this simulation you will study the behavior of the current and voltages of a

This is a lab

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Name Date RC CIRCUIT SIMULATION Introduction In this simulation you will study the behavior of the current and voltages of a RC circuit. In the diagram above we display an RC circuit. When we close the switch 81 leaving the switch S; open, the capacitor is charged through the resistor by the constant voltage source. The voltages across the capacitor and resistor change exponentially with time. The voltage across the capacitor and the resistor are given as, VC(t)=V(1e_\"') VR(t)=Ve'\"t , where Vis the applied voltage and T=RC is the time constant. Once the capacitor is charged we can open the switch, 81 and then close the switch 52 . The capacitor will now discharge through the resistor, the voltages across the capacitor and resistor in this case are given by, Vc(t)=Ve"\" VR(t)=e"" , where Vis the initial voltage across the capacitor. The rate at which the capacitor charges or discharges is characterized by the time constant T = RC. When charging, RC is the time that it takes for the capacitor voltage to increase from zero voltage to 0.632 times the charging voltage, since at t = I = RC V(,4(t)=V(1e\") =V(1-O.368)=0.632V, or 63%ofV Similarly, when discharging, RC is the time for the voltage to drop to 0.368 times its initial value. since att = RC V(.' = Vie\": 0.368V, or 36.8% ofV

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