Chapter 21 AC circuits for Physics 212

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Instantaneous (AC)

Voltage

Peak Velocity times Sine 2 pie Frequency Time

(V = V₀ × Sin 2πƒt)

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Current RMS

Voltage divided by Resistance

(I = V÷R)

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Voltage RMS

.707 Peak Voltage

(V = V₀÷√2)

(V ≈ .707×V₀)

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Average Power in an AC circuit

Voltage squarred divided by Resitance

(P = V²÷R)

(P = I²×R)

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Capacitive Reactance

1 divided by 2 pie frequency capacitance

(Xc = 1 ÷ 2πƒC)

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Inductive Reactance

2 pie frequency L

(XL = 2πƒL)

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Ohm's law Resistor

Velocity divided by Current

(R = V÷I)

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Ohm's law Capacitor

Voltage divided by Current

(Xc = V÷I)

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Ohm's law Inductor

Voltage divided by Current

(XL = V÷I)

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Ohm's law Generalized to AC circuits

Ohm's law Generalized to AC circuits

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Impedance for a series RLC circuit

Square Root of paranthesis Restitance squared + paranthesis Inductive Reactance - Capacitive Reactance end paranthesis squared

(Z=√(R²+ (XL-Xc)²)

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Phase angle between voltage and current in a series RLC circuit

Tangent Theta = Inductive Reactance - Capacitive Reactance divided by Resistance

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Power factor for an RLC circuit

Cosine Theta = Resitance divided by Impedance

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Average power in terms of power factor

Current RMS Voltage RMS Cosine Theta

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Resonance frequency of a series RLC circuit

1 over 2 pie Square Root L Current