Rise of Current in Series LR Circuit (i = (E/R)(1 - e^{-Rt/L}))

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i = (E/R)(1 - e^{-Rt/L})

What each symbol means

SymbolWhat it stands for
LInductance (H)
RResistance (Ω)
tTime after closing switch (s)
ℰBattery emf (V)

When to use this

Ideal inductor (no resistance), DC source switched at t=0, initial i=0.