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Power and Energy Formulas

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Capacitive Reactance

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XC=12πfCX_C = \frac{1}{2\pi fC}

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Three-Phase Power

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P=3×VL×IL×cos(ϕ)P = \sqrt{3} \times V_L \times I_L \times \cos(\phi)

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Single-Phase Power in Resistive Loads

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P=V×IP = V \times I

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Impedance in a Series RLC Circuit

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Z=R2+(XLXC)2Z = \sqrt{R^2 + (X_L - X_C)^2}

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Instantaneous Electrical Power

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p(t)=v(t)×i(t)p(t) = v(t) \times i(t)

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Power Factor

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Power Factor=cos(ϕ)\text{Power Factor} = \cos(\phi)

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Ohm's Law

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V=IRV = IR

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Energy Consumption

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E=P×tE = P \times t

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Inductive Reactance

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XL=2πfLX_L = 2\pi fL

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Electrical Power

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P=VI=I2R=V2RP = VI = I^2R = \frac{V^2}{R}

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Energy Stored in a Capacitor

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E=12CV2E = \frac{1}{2}CV^2

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Energy Stored in an Inductor

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E=12LI2E = \frac{1}{2}LI^2

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