Mutual Induction: Induced Current in Solenoids?

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In summary, if a current-carrying solenoid with an alternating current is placed near an induced solenoid with a copper core, there will be an induced current in the copper core due to the time-dependent magnetic field from the first solenoid. This is explained by Faraday's law, which states that a time-dependent magnetic field surrounded by a conducting loop will induce an electromotive force (EMF) in the loop.
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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
 
  • #3
The current is alternating.
 
  • #4
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
 

1. What is mutual induction?

Mutual induction is the process by which a changing magnetic field in one coil induces a current in a nearby coil. This occurs because the changing magnetic field creates an electric field, which can then cause charges to move in the nearby coil, generating a current.

2. How does mutual induction work?

Mutual induction works through the principle of electromagnetic induction. When there is a changing magnetic field, it creates an electric field, which can then cause charges to move in a nearby conductor, such as a solenoid. This movement of charges creates an induced current in the solenoid.

3. What is a solenoid?

A solenoid is a type of electromagnet that consists of a wire wound into a cylindrical shape. When a current flows through the wire, it creates a magnetic field that is concentrated in the center of the cylinder. Solenoids are commonly used in electronic devices, such as speakers, relays, and door locks.

4. How is mutual induction used in real-life applications?

Mutual induction is used in various real-life applications, such as transformers, generators, and induction cooktops. In transformers, mutual induction is used to change the voltage of an alternating current. In generators, it is used to convert mechanical energy into electrical energy. Induction cooktops use mutual induction to generate heat in the cooking vessel.

5. What factors affect the strength of the induced current in a solenoid?

The strength of the induced current in a solenoid is affected by several factors, including the number of turns in the coil, the strength of the magnetic field, and the rate at which the magnetic field changes. Additionally, the distance between the two coils and the material of the core can also impact the strength of the induced current.

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