The formula for the current flowing through an inductor is given by:
i(t) = (1/L) * ∫[0 to t]v(τ) dτ
● i(t) is the current through the inductor at time t ● L is the inductance of the inductor in henries (H) ● v(t) is the voltage applied across the inductor at time t ● ∫[0 to t]v(τ) dτ is the integral of the voltage waveform from 0 to t.
This formula represents the relationship between the voltage applied to an inductor and the current that flows through it.
It shows that the current through an inductor is directly proportional to the integral of the voltage applied across it over time, with the constant of proportionality being the reciprocal of the inductance.
