-12 points Tipler6 28.P067 An inductor, two resistors, a make-before-break switc

Question

-12 points Tipler6 28.P067 An inductor, two resistors, a make-before-break switch, and a battery are connected as shown in the figure below. The switch throw has been at contact e for a long time and the current in the inductor is 2.2 A. Then, at t = 0, the throw is quickly moved to contact. During the next 44 ms the currentin the inductor drops to 1.5 A My Notes Ask Your Teacher RI (a) What is the time constant for this circuit? ms (b) If the resistance R is equal to 0.39 , what is the value of the inductance L? mH eBook

Explanation / Answer

a)

In a RL circuit ,Current as a function of time for discharging is given by

I=Ioe-t/T

=>1.5=2.2e-0.044/T

Ln(1.5/2.2) =-0.044/T

T=114.88 ms

b)

since

T=L/R

Inductance

L=RT =0.39*114.88=44.8 mH

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