S13Phys2BaLec31A

# Immediately charge will attempt to flow the positive

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Immediately charge will attempt to flow the positive plate of the capacitor to the negative side of the capacitor. The inductor will oppose this change in current by creating a potential difference.

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LC Circuits By performing a Kirchhoff loop you get: ! V C + ! V L = 0 ! = 1 LC Q C + L dI dt = 0 Q C + L d 2 Q dt 2 = 0 Q t ( ) = Q o cos ! t I t ( ) = ! ! Q o sin ! t Isolate to get: This has solutions of the form: Where: d 2 Q dt 2 = ! 1 LC Q
LC Circuit

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AC Circuits An AC circuit consists of a combination of circuit elements and an AC generator or source. An AC source in a circuit is designated by: In a simple circuit consisting of a resistor and an AC voltage source, the voltage drop across the resistor is equal to the voltage across the AC source.
AC Circuits The output of an AC generator is sinusoidal and varies with time according to the following equation: Δ v = Δ V max sin 2 π ft ( ) where Δ v is the instantaneous voltage across the AC generator, Δ V max is the maximum voltage of the AC generator, and f is the frequency at which the voltage changes (in 1/sec. = Hz)

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AC Circuits We find that in a simple circuit consisting of a resistor and an AC generator, that the voltage drop, Δ v R , across the resistor and current through the resistor, i R , are maximum values at the same time. We say that the current and the voltage are “in phase” with each other. If one were shifted to the left or right in any way, then they would be “out of phase.”
AC Circuits The direction of the current has no effect on the behavior of the resistor. To a resistor I max in one direction is indistinguishable from I max in the opposite direction. The rate at which electrical energy is dissipated in the AC circuit is given by: where i is the instantaneous current.

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