Induced current in long straight wire

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SUMMARY

The discussion centers on the induction of current in a loop caused by changes in the current of a nearby long straight wire, as described by Faraday's Law and Ampere's Law. The primary mechanism identified is the alteration of current in the straight wire, which generates a magnetic field that induces current in the loop. A secondary possibility involves the switching on or off of a direct current (D.C.) supply to the wire, which also results in a momentary change in current. Both scenarios highlight the principles of electromagnetic induction without any physical movement of the wire or loop.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Familiarity with Ampere's Law
  • Basic knowledge of magnetic fields and their interaction with electric currents
  • Concept of direct current (D.C.) supply and its effects on circuits
NEXT STEPS
  • Study the principles of electromagnetic induction in detail
  • Explore practical applications of Faraday's Law in electrical engineering
  • Investigate the effects of switching D.C. supplies on nearby circuits
  • Learn about the relationship between changing magnetic fields and induced currents
USEFUL FOR

Students of physics, electrical engineers, and anyone interested in the principles of electromagnetic induction and circuit behavior.

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Homework Statement


A current is induced in a loop by something happening with current in a long straight wire near the loop. What could be happening? (There are two possibilities. Neither the wire nor the loop is moving.)


Homework Equations


Ampere's Law
Faraday's Law


The Attempt at a Solution


I'm pretty sure I know one of the possibilities. I said that one possibility is that the current in the straight wire is changing. This changing current will create a magnetic field. This created magnetic field will then induce a current in the loop. I cannot think of the other possibility if the wire and loop are not moving. Any help would be appreciated.
 
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The only other possibility I can think of is that the straight wire is fed by a d.c. supply which is then switched on or off the current in the coil being induced at those instants.I do not like this answer, however, because the current does change momentarily during switching and you have already described a changing current.
 

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