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The time required for the current flowing in the LR series circuit to reach its maximum steady state value is equivalent to about 5 time constants or 5Ï. This time constant Ï, is measured by Ï = L/R, in seconds, were R is the value of the resistor in ohms and L is the value of the inductor in Henries.
For a resistor-capacitor circuit, the time constant (in seconds) is calculated from the product (multiplication) of resistance in ohms and capacitance in farads: Ï=RC. However, for a resistor-inductor circuit, the time constant is calculated from the quotient (division) of inductance in henrys over the resistance in ohms: Ï=L/R. This difference in calculation has a profound impact on the qualitative analysis of transient circuit response.