Question

a) What is the purpose of an inductor, anyway. Answer in one or two sendences bit Ve= 7.70, R=442ohm, and L=/75 H how Daug does it take for the inductose to completely adjust to the changes of current after the switch is closed? ouve an answer in seconds, three dicinal places cih ve = 3.36, R: 7.38ohm, and L=17.2H what is the magnitude of the cussent flowing through the circuit at the time equal to half of the time constant bine your answer in second to three decinal places

Answer 1

• a)Inductors are passive electronic componentthat opposes sudden change in current.
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  (a) Inductors are used as the energy Storage device in many switched -mode power supplies to produce DC current. The inductor Supplies energa o the to the circuit to keep current flowing during the Off" switching periods and enables topographies where the output voltage higher than input voltage
  
• b and c)
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  VB = 70 FOV R=41.22 L = 1705H I - Io (1-e-t1) I = VB = 0 7.70 = 0.1868 A R 4102 1705 • Time constant (1) 4102 0.4247 seconds R Time taken to adjust the current = Transient time Transient time = 5T = 5x 0.42 47=2.12375 VB = 3.36 v R=7038 2 2 /7. 2 H I = Io (1-e-t)) To fund I at t = 1/2 I =Io (-e-T2 ) - I. (1-e-/2) Io= VB 3.36 = 0.4552 R 7038 I = 0.4552 1 - e-Y2 = 0.4552 (1-0.7788) 0.1006A so the current flowing at 7/2=