Chapter 31 Alternating Current Circuits

[Pages:88]Chapter 31

Alternating Current Circuits

Alternating Current Circuits

? Alternating Current - Generator ? Wave Nomenclature & RMS ? AC Circuits: Resistor; Inductor; Capacitor ? Transformers - not the movie ? LC and RLC Circuits - No generator ? Driven RLC Circuits - Series

? Impedance and Power

? RC and RL Circuits - Low & High Frequency ? RLC Circuit - Solution via Complex Numbers ? RLC Circuit - Example ? Resonance

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Generators

By turning the coils in the magnetic field an emf is generated in the coils thus turning mechanical energy into alternating (AC) power.

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Generators

Rotating the Coil in a Magnetic Field Generates an Emf ? Examples: Gasoline generator ? Manually turning the crank ? Hydroelectric power

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Generators

m = NBAcos = t

m = NBAcost

=-

d dt

m

=

NBAsint

= sint; = NBA

peak

peak

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Wave Nomenclature and RMS Values

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Wave Nomenclature

Apeak-peak = Ap-p = 2Apeak = 2Ap; Ap = Ap-p /2

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Shifting Trig Functions

x=

A

sin cos

t

-

{ } x = A

sin cos

2

t T

-

The minus sign means that the phase is shifted to the right.

A plus sign indicated the phase is shifted to the left

x=

A

sin

t

-

2

( ) x = A sint cos - sin cost

2

2

( ) x = A sint (0) - (1)cost

x = -Acost

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