One member of your group suggests that the RL circuit in figure 1 be modified so that a third switch S, is added as shown in figure 2. Figure 1 When switch S, has been closed for a long time, the current in the circuit reaches its steady state value I. Figure 2 Switch S, has been closed for a long time and switch S, has been at position a for a long time, so that the current in the inductor has reached its maximum value. The inductor has a resistance R, in its windings. Now, switch S, is thrown closed at t = 0. The group member who suggested the circuit challenges the rest of the group to discuss and solve the following problem: Find the subsequent current as a function of time in the resistor R, the inductor L, and the switch Sz. As a bonus question, the group is given the following challenge: What is the current in switch Sz at time t= 0? (Use the following as necessary: E, R, R̟, t, and L.)

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One member of your group suggests that the RL circuit in figure 1 be modified so that a third switch S, is added as shown in figure 2.
Figure 1
When switch S, has been
closed for a long time, the
current in the circuit reaches
Figure 2
its steady state value I.
R
S2
a
R
a
I
S3
L
Switch S,
has been closed for a long time and switch S, has been at position a for a long time, so that the current in the inductor has reached its maximum value. The inductor has a resistance R, in its windings. Now, switch S, is thrown closed at t = 0.
The group member who suggested the circuit challenges the rest of the group to discuss and solve the following problem: Find the subsequent current as a function of time in the resistor R, the inductor L, and the switch S3. As a bonus question, the
group is given the following challenge: What is the current in switch S, at time t
0? (Use the following as necessary: E, R, R,, t, and L.)
(a) Find the subsequent current as a function of time in the resistor R.
IR(t) =
(b) Find the subsequent current as a function of time in the inductor L.
i (E) =
%3D
(c) Find the subsequent current as a function of time in the switch S,
is(t :
(d) What is the current in switch S, at time t = 0?
iç(0) =
ell
Transcribed Image Text:One member of your group suggests that the RL circuit in figure 1 be modified so that a third switch S, is added as shown in figure 2. Figure 1 When switch S, has been closed for a long time, the current in the circuit reaches Figure 2 its steady state value I. R S2 a R a I S3 L Switch S, has been closed for a long time and switch S, has been at position a for a long time, so that the current in the inductor has reached its maximum value. The inductor has a resistance R, in its windings. Now, switch S, is thrown closed at t = 0. The group member who suggested the circuit challenges the rest of the group to discuss and solve the following problem: Find the subsequent current as a function of time in the resistor R, the inductor L, and the switch S3. As a bonus question, the group is given the following challenge: What is the current in switch S, at time t 0? (Use the following as necessary: E, R, R,, t, and L.) (a) Find the subsequent current as a function of time in the resistor R. IR(t) = (b) Find the subsequent current as a function of time in the inductor L. i (E) = %3D (c) Find the subsequent current as a function of time in the switch S, is(t : (d) What is the current in switch S, at time t = 0? iç(0) = ell
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