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RL Transient: Why an Inductor Slows the Current

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Series RL transient — when the switch closes, current rises along i(t) = (V/R)(1 − e^{−t/τ}) with τ = L/R, because the inductor opposes any change in current and develops a back-emf that decays as the current settles; the inductive twin of RC charging.

RL circuitinductorback-emftime constanttransient responseexponential
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