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Published byKristian Hawkins Modified over 9 years ago
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Phys 272 Alternating Current
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A.C. Versus D.C
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(Natural) Frequency, Period, etc…
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Alternating Current
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Voltage and Current US: 120V rms, 60Hz Europe: 230V rms, 50Hz
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Question
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Resistive AC circuit
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Capacitive AC circuit
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Capacitive Reactance
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Inductive AC circuit
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Inductive Reactance
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RLC
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RLC Circuit and Impedance
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Summary: Reactance and Impedance
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RLC Circuit and Impedance
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High Pass and Low Pass Filter
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Resonance
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Happens when driving frequency equals natural frequency
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Find X L and X R at resonance
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Root-mean-square
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Power and rms
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More rms
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Transformer
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Reducing current during transmission
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Saving energy, why?
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Solution
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Complex reactance: A more general “Ohm’s Law”
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Complex reactance
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Complex Numbers Review
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Cos and Sin in Complex Number
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Complex Plane
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Complex Plane (Special Cases)
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Finding Imaginary Part
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Example: Rewrite in Polar Form
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Finding Imaginary Part
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Complex Conjugate
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Conjugate to Modulus
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Translating between Real and Complex Worlds
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The Process
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The Rule 1.Replace the voltage by complex version. 2.Use Ohm’s law to find the complex current. Pretend R, L, C are all resistors with complex reactance. 3.The imaginary part of the complex current gives you the real current I(t). 4.The magnitude of the complex current gives you the amplitude of the real current.
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Capacitive Circuit
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Inductive Circuit
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RLC Circuit
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RLC Circuit (amplitude)
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RLC Circuit (full treatment)
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Impedance and Reactance
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Complex Number (Phasor)
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Capacitive Reactance
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Inductive reactance
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RLC Circuit and Impedance
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