The 5.00 A current through a 1.50 H inductor is dissipated by a 2.00 Ω resistor in a circuit like that as shown with the switch in position 2. (a) What is the initial energy in the inductor? (b) How long will it take the current to decline to 5.00% of its initial value? (c) Calculate the average powerdissipated, and compare it with the initial power dissipated by the resistor. 0.6321.0.368/,O 1= LUR 21(c)3rO r= LIR 21(b)3т474r(a)Figure 23.44 (a) An RL circuit with a switch to turn current on and off. When in position 1, the battery, resistor, and inductor are in series and a currentis established. In position 2, the battery is removed and the current eventually stops because of energy loss in the resistor. (b) A graph of currentgrowth versus time when the switch is moved to position 1. (c) A graph of current decay when the switch is moved to position 2.

(a) Write the formula for the initially stored energy in the inductor.

Answered: 0.6321. 0.368/, O 1= LUR 21 (c) 3r O r=…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter33: Inductors And Ac Circuits

Section: Chapter Questions

Problem 69PQ

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Question

The 5.00 A current through a 1.50 H inductor is dissipated by a 2.00 Ω resistor in a circuit like that as shown with the switch in position 2. (a) What is the initial energy in the inductor? (b) How long will it take the current to decline to 5.00% of its initial value? (c) Calculate the average power
dissipated, and compare it with the initial power dissipated by the resistor.

0.6321.
0.368/,
O 1= LUR 21
(c)
3r
O r= LIR 21
(b)
3т
47
4r
(a)
Figure 23.44 (a) An RL circuit with a switch to turn current on and off. When in position 1, the battery, resistor, and inductor are in series and a current
is established. In position 2, the battery is removed and the current eventually stops because of energy loss in the resistor. (b) A graph of current
growth versus time when the switch is moved to position 1. (c) A graph of current decay when the switch is moved to position 2.

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