The switch in the circuit below has been closed for a long time. At t=0, the switch is opene t=0 12 V 3Ω www 4Ω www ell 2 H The inductor current just before the switch opens is 4A The inductor current just before the switch opens is i(0) Since inductor current cannot change abruptly, i(0)=i(0*)=i(0) When t>0 we have a source free RL circuit for t>0 the circuit time constant is 0.5 i(t) = 4*e-2t A The inductor energy is stored in its magnetic field For t>0 the inductor energy will be dissipated in the resistor

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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The switch in the circuit below has been closed for a long time. At t=0, the switch is opened.
t=0
12 V
3Ω
www
4Ω
www
ell
2 H
The inductor current just before the switch opens is 4A
The inductor current just before the switch opens is i(0)
Since inductor current cannot change abruptly, i(0)=i(0*)=i(0)
When t>0 we have a source free RL circuit
for t>0 the circuit time constant is 0.5
i(t) = 4*e-2t A
The inductor energy is stored in its magnetic field
For t>0 the inductor energy will be dissipated in the resistor
Transcribed Image Text:The switch in the circuit below has been closed for a long time. At t=0, the switch is opened. t=0 12 V 3Ω www 4Ω www ell 2 H The inductor current just before the switch opens is 4A The inductor current just before the switch opens is i(0) Since inductor current cannot change abruptly, i(0)=i(0*)=i(0) When t>0 we have a source free RL circuit for t>0 the circuit time constant is 0.5 i(t) = 4*e-2t A The inductor energy is stored in its magnetic field For t>0 the inductor energy will be dissipated in the resistor
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