Electrical engineering

Alternating current

Reactance, impedance and power in AC circuits.

Electrical engineering

Inductive reactance

Xₗ = 2πfL→
Electrical engineering

Capacitive reactance

X꜀ = 1 / (2πfC)→
Electrical engineering

RLC circuit impedance

Z = √(R² + (Xₗ − X꜀)²)→
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AC apparent power

S = UI→
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AC active power

P = UI cos φ→
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AC reactive power

Q = UI sin φ→
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Power factor

cos φ = P / S→
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LC resonant frequency

f₀ = 1 / (2π√LC)→
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RMS voltage

U = Uₘ/√2→
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RMS current

I = Iₘ/√2→
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Capacitive reactance from angular frequency

X꜀ = 1/(ωC)→
Electrical engineering

Inductive reactance from angular frequency

Xₗ = ωL→
Electrical engineering

Current from impedance

I = U/Z→
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LC circuit oscillation period

T = 2π√(LC)→
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Power factor from R and Z

cos φ = R/Z→
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AC phase angle in radians

φ = atan((Xₗ−X꜀)/R)→
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Reactive power from phase angle

Q = UI sin φ→
Electrical engineering

RLC voltage using Kirchhoff's law

U = √(Uᵣ²+(Uₗ−U꜀)²)→