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Q&A Current and voltage of inductor

After the switch is closed : The general formula for finding the current through the inductor is this: where If is the current through the inductor after infinite time,Io is the current of th...

posted 2y ago by MissMulan‭  ·  edited 2y ago by MissMulan‭

Answer
#3: Post edited by user avatar MissMulan‭ · 2021-09-03T14:06:40Z (over 2 years ago)
  • After the switch is closed :
  • ![hi](https://electrical.codidact.com/uploads/CKwPvMefd7M9yAg94vGZypHm)
  • The general formula for finding the current through the inductor is this:
  • ![hi](https://electrical.codidact.com/uploads/Qk6zZfyGQoTekDqw7Jm9WEHA)
  • where If is the current through the inductor after infinite time,Io is the current of the inductor at the time the switch is closed.
  • Because inductors resist any change in current:
  • ![hi](https://electrical.codidact.com/uploads/CtwGbysnFxGjvhJCxTfigWTo)
  • This tells us that at the moment the switch is closed the current through the inductor will be equal to the current through it before the switch is closed which is 0.
  • ![hi](https://electrical.codidact.com/uploads/wFwihpAHyou3t3FZgQNgVWwK)
  • As t tends to infinity the inductor will act as an open circuit which means that by current division the current will be 0.03A.
  • the R in the exponent is the total resistance seen by the inductor which is:
  • ![hi](https://electrical.codidact.com/uploads/v1jjb2FzSCi5L2BpHMEQMVGq)
  • so the current equation will be:
  • ![hi](https://electrical.codidact.com/uploads/gUKSy5YXoQjYjFXrgPPcP1Yd)
  • and the voltage between the ends of the inductor will be:
  • ![hi](https://electrical.codidact.com/uploads/vQUhx876aQfeEtmGuheDXRaM)
  • After the switch is closed :
  • ![hi](https://electrical.codidact.com/uploads/CKwPvMefd7M9yAg94vGZypHm)
  • The general formula for finding the current through the inductor is this:
  • ![hi](https://electrical.codidact.com/uploads/Qk6zZfyGQoTekDqw7Jm9WEHA)
  • where If is the current through the inductor after infinite time,Io is the current of the inductor at the time the switch is closed.
  • Because inductors resist any change in current:
  • ![hi](https://electrical.codidact.com/uploads/CtwGbysnFxGjvhJCxTfigWTo)
  • This tells us that at the moment the switch is closed the current through the inductor will be equal to the current through it before the switch is closed which is 0.
  • ![hi](https://electrical.codidact.com/uploads/wFwihpAHyou3t3FZgQNgVWwK)
  • As t tends to infinity the inductor will act as a short circuit which means that by current division the current will be 0.03A.
  • the R in the exponent is the total resistance seen by the inductor which is:
  • ![hi](https://electrical.codidact.com/uploads/v1jjb2FzSCi5L2BpHMEQMVGq)
  • so the current through the inductor equation will be:
  • ![hi](https://electrical.codidact.com/uploads/gUKSy5YXoQjYjFXrgPPcP1Yd)
  • and the voltage of the inductor will be:
  • ![hi](https://electrical.codidact.com/uploads/vQUhx876aQfeEtmGuheDXRaM)
#2: Post edited by user avatar MissMulan‭ · 2021-09-02T09:54:53Z (over 2 years ago)
  • After the switch is closed :
  • ![hi](https://electrical.codidact.com/uploads/CKwPvMefd7M9yAg94vGZypHm)
  • The general formula for finding the current through the inductor is this:
  • ![hi](https://electrical.codidact.com/uploads/Qk6zZfyGQoTekDqw7Jm9WEHA)
  • where If is the current through the inductor after infinite time,Io is the current of the inductor at the time the switch is closed.
  • Because inductors resist any change in current:
  • ![hi](https://electrical.codidact.com/uploads/CtwGbysnFxGjvhJCxTfigWTo)
  • This tells us that at the moment the switch is closed the current through the inductor will be equal to the current through it before the switch is closed which is 0.
  • ![hi](https://electrical.codidact.com/uploads/wFwihpAHyou3t3FZgQNgVWwK)
  • As t tends to infinity the inductor will act as an open circuit which means that by current division the current will be 0.03A.
  • the R in the exponent is the total resistance seen by the inductor which is:
  • ![hi](https://electrical.codidact.com/uploads/v1jjb2FzSCi5L2BpHMEQMVGq)
  • so the current equation will be:
  • ![hi](https://electrical.codidact.com/uploads/gUKSy5YXoQjYjFXrgPPcP1Yd)
  • and the voltage of the inductor will be:
  • ![hi](https://electrical.codidact.com/uploads/vQUhx876aQfeEtmGuheDXRaM)
  • After the switch is closed :
  • ![hi](https://electrical.codidact.com/uploads/CKwPvMefd7M9yAg94vGZypHm)
  • The general formula for finding the current through the inductor is this:
  • ![hi](https://electrical.codidact.com/uploads/Qk6zZfyGQoTekDqw7Jm9WEHA)
  • where If is the current through the inductor after infinite time,Io is the current of the inductor at the time the switch is closed.
  • Because inductors resist any change in current:
  • ![hi](https://electrical.codidact.com/uploads/CtwGbysnFxGjvhJCxTfigWTo)
  • This tells us that at the moment the switch is closed the current through the inductor will be equal to the current through it before the switch is closed which is 0.
  • ![hi](https://electrical.codidact.com/uploads/wFwihpAHyou3t3FZgQNgVWwK)
  • As t tends to infinity the inductor will act as an open circuit which means that by current division the current will be 0.03A.
  • the R in the exponent is the total resistance seen by the inductor which is:
  • ![hi](https://electrical.codidact.com/uploads/v1jjb2FzSCi5L2BpHMEQMVGq)
  • so the current equation will be:
  • ![hi](https://electrical.codidact.com/uploads/gUKSy5YXoQjYjFXrgPPcP1Yd)
  • and the voltage between the ends of the inductor will be:
  • ![hi](https://electrical.codidact.com/uploads/vQUhx876aQfeEtmGuheDXRaM)
#1: Initial revision by user avatar MissMulan‭ · 2021-09-02T09:49:32Z (over 2 years ago)
After the switch is closed :

![hi](https://electrical.codidact.com/uploads/CKwPvMefd7M9yAg94vGZypHm)

The general formula for finding the current through the inductor is this:

![hi](https://electrical.codidact.com/uploads/Qk6zZfyGQoTekDqw7Jm9WEHA)

where If is the current through the inductor after infinite time,Io is the current of the inductor at the time the switch is closed.

Because inductors resist any change in current:

![hi](https://electrical.codidact.com/uploads/CtwGbysnFxGjvhJCxTfigWTo)

This tells us that at the moment the switch is closed the current through the inductor will be equal to the current through it before the switch is closed which is 0.

![hi](https://electrical.codidact.com/uploads/wFwihpAHyou3t3FZgQNgVWwK)

As t tends to infinity the inductor will act as an open circuit which means that by current division the current will be 0.03A.

the R in the exponent is the total resistance seen by the inductor which is:

![hi](https://electrical.codidact.com/uploads/v1jjb2FzSCi5L2BpHMEQMVGq)

so the current equation will be:

![hi](https://electrical.codidact.com/uploads/gUKSy5YXoQjYjFXrgPPcP1Yd)

and the voltage of the inductor will be:

![hi](https://electrical.codidact.com/uploads/vQUhx876aQfeEtmGuheDXRaM)