for the current to reach 67% of its maximum value
B is the respond because of the fact: At t 0, the inductor is modeled as an open circuit because of the fact an inductor gives you very extreme impedance (reactance) for promptly changing contemporary. the well-known public of the voltage interior the ckt suitable after the change is closed seems around the inductor. we can write the equation for the present interior the ckt as I(t) [20/2][a million-e^-(t*R/L)] observe that at t0, I(0) 10*[a million- e^(0)] 10*[a million-a million] 0 For t very great the term e^-(t*R/L) techniques 0 That leaves I(t) 10A. the present interior the inductor and resistor are the comparable because of the fact they are in sequence.
The final value will be 24/146. The equation is [24/146]*[1-exp(Rt/L)]. So if answer is T, 0.67 1-exp(-RT/L). Find T
A little more than one time constant.
Five tau. That is five time periods, as regulated by the inductor; prior to this the current is spent to establish the magnetic field.
