The answer is:
a) t = 4.6π
b) L = 0.0187 H
Electrical resistance is the hindrance to the flow of charge through an electric circuit.
Given is the current flowing in an R-L series circuit.
where is the provided time constant.
L is for inductance, and R stands for resistance.
It would take t = 4.6 seconds to reach the steady state, assuming the current has reached steady state when it is at 99% of its highest value.
(b) What values of the total inductance of the circuit are required to meet the criteria if an emergency power circuit must reach steady state within 1.2 ms after turning on and the circuit has a total resistance of 72.
In order to meet the criterion, an inductance of 0.0187 H is required.
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