S13Phys2BaLec31B

# Consider a simple circuit containing an inductor and

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Consider a simple circuit containing an inductor and an AC source. Initially the current in hindered by the inductor’s induction. Even though the initial value of current will be a maximum, the voltage drop will oppose it. When the time rate of change of the current is maximum then the voltage drop across the inductor is a maximum.

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AC Circuits with Ind. Also, when the time rate of change of the current is zero then the voltage drop across the inductor is also zero. Giving us the following: As time moves on, we would first see a maximum voltage drop, then a maximum current. The voltage across the inductor, Δ V L , leads the current by 90 o .
AC Circuits with Ind. What determines how much current the inductor gets? The inductance, L, of the inductor and the angular frequency, ω , of the AC current. Because of this we define a new variable called inductive reactance, X L , and is given by: where ω is measured in rad/s and L is in H, this means that X L will be in Ω . X L = 2 π fL = ω L Since inductive reactance measures how an inductor resists current in an AC circuit, we can say that Ohm’s Law becomes: Δ V L , rms = I rms X L

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Clicker Question 31B-1 A capacitor is connected to an alternating current power supply. If the capacitor is replaced with another that has a larger capacitance, what is the effect on the rms current in the circuit and the capacitive reactance? A) The rms current will increase as the capacitive reactance decreases. B) The rms current will remain the same as the capacitive reactance decreases. C) Both the rms current and the capacitive reactance will decrease. D) Both the rms current and the capacitive reactance will increase.
RLC Circuit We can combine the resistor, the inductor, and the capacitor into a series circuit known as the RLC circuit.

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