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Physics · L4 · Series RLC Circuit: Computing Total Impedance

Step-by-step process for finding the total impedance and phase angle of a series RLC circuit at a given frequency.

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⚡ Series RLC circuit: R, L, Cdriven at frequency fInductive reactance:X_L = 2πfLCapacitive reactance:X_C = 1/(2πfC)Net reactance:X = X_L − X_CTotal impedance:Z = √(R² + X²)Phase angle:φ = arctan(X/R)Sign of X?Net inductive:voltage leads currentNet capacitive:current leads voltage🎯 Resonance:Z = R, purely resistiveX > 0X < 0X = 0

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