Consider once again the RL circuit as shown, with switch S2 at position a and the current having reached its steady-state value. When S2 is thrown to position b, as shown, the current in the right-hand loop decays exponentially with time according to as shown. Show that all the energy initially stored in the magnetic field of the inductor appears as internal energy in the resistor as the current decays to zero. When switch S, has beenclosed for a long time, thecurrent in the circuit reachesits steady state value I.R1.RWhen the switch S., is thrownto position b, the battery is nolonger part of the circuit andthe current decreases.Figure 31.5 (a) The conditionshown in Figure 31.2b has existedfor a long time and the currenthas its maximum value. (b) Whenswitch S, is thrown to position b,the current begins to fall.ell i =R(31.10)

When the switch comes to position b, the current in the circuit becomes,

Answered: When switch S, has been closed for a…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Consider once again the RL circuit as shown, with switch S₂ at position a and the current having reached its steady-state value. When S₂ is thrown to position b, as shown, the current in the right-hand loop decays exponentially with time according to as shown. Show that all the energy initially stored in the magnetic field of the inductor appears as internal energy in the resistor as the current decays to zero.

When switch S, has been
closed for a long time, the
current in the circuit reaches
its steady state value I.
R
1.
R
When the switch S., is thrown
to position b, the battery is no
longer part of the circuit and
the current decreases.
Figure 31.5 (a) The condition
shown in Figure 31.2b has existed
for a long time and the current
has its maximum value. (b) When
switch S, is thrown to position b,
the current begins to fall.
ell

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