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Part of MAG-02 — Electromagnetic Induction & Alternating Current

AC Circuit Element Comparison

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PropertyPure RPure LPure C
Reactance/ImpedanceR (ohm)X_L = ωL = 2πfLX_C = 1/(ωC) = 1/(2πfC)
Phase (I w.r.t. V)In phase (φ = 0)I lags V by 90°I leads V by 90°
MnemonicELI (E leads I in L)ICE (I leads E in C)
Average PowerP = V_rms I_rmsP = 0 (wattless)P = 0 (wattless)
Power Factorcos φ = 1cos φ = 0cos φ = 0
Frequency effectR unchangedXLfX_L \propto f (increases)X_C ∝ 1/f (decreases)
EnergyDissipated as heatStored in B-field, returnedStored in E-field, returned
Phasor: V vs IParallelV leads I by 90°I leads V by 90°

Key insight: Only R dissipates power. L and C store and return energy—no net consumption. In a series LCR circuit, all three are present and the phase angle is intermediate.

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