Lecture 11

# Lecture 11 - Quiz is Quiz 2 is Friday Feb 26 4:30PM...

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uiz 2 is…. Quiz 2 is…. •F r i d a y, Feb. 26, 4:30PM, CW101,102,103. • Covers voltage, batteries, capacitance, resistance, circuits. • Review, 7:30PM Wednesday, Feb. 24, CW102. • SAS Review, 6:00PM Thursday, Feb. 25, Pasley uditorium Auditorium.

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C circuits RC circuits • Imagine the switch is in flipped to position A. What appens? happens? • The capacitor will start to charge, developing a voltage V C (t)=Q(t)/C. Opposite charge will flow to the negative side of the capacitor through the resistor. • The loop rule tells us that EMF-Q/C-IR=0. A B
harging RC circuit Charging RC circuit Now, since I=dQ/dt, this can be written as dQ/dt+Q/RC=EMF/R. This is an example of a 1 st order differential equation, that in this case can be solved using calculus. Before solving in exactly, let’s make three observations: 1. The quantity RC has units of time. It is called the RC me constant time constant τ RC . 2. For short times, t<< τ RC , the capacitor has not charged, so Q 0 and dQ/dt=V/R. For t<< τ rC , the capacitor behaves like a short circuit.

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Lecture 11 - Quiz is Quiz 2 is Friday Feb 26 4:30PM...

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