Mutual Induction: Induced Current in Solenoids?

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SUMMARY

The discussion centers on the phenomenon of mutual induction between two solenoids, specifically when a current-carrying solenoid is placed near another solenoid with a copper core. It is established that if the current in the first solenoid is alternating, it generates a time-dependent magnetic field. According to Faraday's law of electromagnetic induction, this changing magnetic field induces a current in the conducting loops of the second solenoid. Thus, an induced current is present when the conditions of alternating current are met.

PREREQUISITES
  • Understanding of Faraday's law of electromagnetic induction
  • Knowledge of alternating current (AC) concepts
  • Familiarity with solenoid construction and operation
  • Basic principles of magnetic fields and their interactions
NEXT STEPS
  • Study the mathematical formulation of Faraday's law of induction
  • Explore the effects of different frequencies of alternating current on induced current
  • Investigate the role of core materials in solenoid performance
  • Learn about applications of mutual induction in transformers and inductors
USEFUL FOR

This discussion is beneficial for physics students, electrical engineers, and educators seeking to deepen their understanding of electromagnetic induction and its practical applications in circuit design.

phyphysics
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If we place a current-carrying solenoid near an induced solenoid with a copper core inside it, is there any induced current?
 
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phyphysics said:
If we place a current-carrying solenoid near an induced solenoid with a copper core inside it, is there any induced current?
It depends on the current. Does it change with time?

AM
 
The current is alternating.
 
phyphysics said:
The current is alternating.
Then there is a time-dependent magnetic field from the first solenoid. This extends out to the inside of the other solenoid. The other solenoid consists of conducting loops of wire. What does Faraday's law say regarding a time dependent magnetic field surrounded by a conducting loop?

AM
 

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