Figure P7.3 30 Ω w a t=0 + 60 V + 702V2 - 90 Ω w 0.32 HV1 73 In the circuit shown in Fig. P7.3, the switch makes contact with position b just before breaking contact with position a. As already mentioned, this is known as a make-before-break switch and is designed so that the switch does not interrupt the current in an inductive circuit. The interval of time between "making" and "breaking" is assumed to be negligible. The switch has been in the a position for a long time. At t = 0 the switch is thrown from posi- tion a to position b. a) Determine the initial current in the inductor. b) Determine the time constant of the circuit fort > 0. c) Find i, v₁, and v₂ for t≥ 0. d) What percentage of the initial energy stored in the inductor is dissipated in the 90 resistor 1 ms after the switch is thrown from position a to position b?

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Figure P7.3
30 Ω
w
a
t=0
+
60 V
+
702V2
-
90 Ω
w
0.32 HV1
Transcribed Image Text:Figure P7.3 30 Ω w a t=0 + 60 V + 702V2 - 90 Ω w 0.32 HV1
73 In the circuit shown in Fig. P7.3, the switch makes
contact with position b just before breaking contact
with position a. As already mentioned, this is
known as a make-before-break switch and is
designed so that the switch does not interrupt the
current in an inductive circuit. The interval of time
between "making" and "breaking" is assumed to be
negligible. The switch has been in the a position for
a long time. At t = 0 the switch is thrown from posi-
tion a to position b.
a) Determine the initial current in the inductor.
b) Determine the time constant of the circuit
fort > 0.
c) Find i, v₁, and v₂ for t≥ 0.
d) What percentage of the initial energy stored in
the inductor is dissipated in the 90 resistor
1 ms after the switch is thrown from position a to
position b?
Transcribed Image Text:73 In the circuit shown in Fig. P7.3, the switch makes contact with position b just before breaking contact with position a. As already mentioned, this is known as a make-before-break switch and is designed so that the switch does not interrupt the current in an inductive circuit. The interval of time between "making" and "breaking" is assumed to be negligible. The switch has been in the a position for a long time. At t = 0 the switch is thrown from posi- tion a to position b. a) Determine the initial current in the inductor. b) Determine the time constant of the circuit fort > 0. c) Find i, v₁, and v₂ for t≥ 0. d) What percentage of the initial energy stored in the inductor is dissipated in the 90 resistor 1 ms after the switch is thrown from position a to position b?
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