Electromagnetic induction question

In summary, the conversation is about a homework question involving a square loop of wire being crushed while in a magnetic field. The question asks for the total amount of charge flowing through the loop with a given resistance. The person asking for help has considered the effects of the change in area on the magnetic flux and suspects that Faraday's law may be involved, but is unsure of which equation to use. Another person confirms that Faraday's law is relevant and asks if the first person knows what it is.
  • #1
fishmonger
3
0
Please help! :confused:
I'm stuck on this homework question and it's due tomorrow.
Any help would be greatly appreciated...

Question:
A magnetic field of strength 2.3 T is directed into the plane of a square loop of wire with each side of length 0.4 m. The loop of wire is then crushed together in .48 seconds so that the loop no longer encloses any area. Find the total amount of charge flowing through the loop if the wire has a resistance of 0.2 .

Thank you in advance
 
Physics news on Phys.org
  • #2
Hi there fishmonger and welcome to PF,

What are your thoughts thus far on this conundrum?
 
  • #3
Here are my thoughts thus far:

The change in the area within the loop (because of the crushing) should affect the magnetic flux, and the change in flux is what creates the emf...is as far a connection as I've been able to make.
I can't seem to figure out what equation to proceed with in order to actually calculate anything. Lenz's Law, or something completely different...?
 
  • #4
And thanks for the welcome! :) I wish I'd discovered this forum earlier in the year.
 
  • #5
fishmonger said:
The change in the area within the loop (because of the crushing) should affect the magnetic flux, and the change in flux is what creates the emf...is as far a connection as I've been able to make.
I can't seem to figure out what equation to proceed with in order to actually calculate anything. Lenz's Law, or something completely different...?
You are quite correct. What you have just (almost) described is Faraday's law. Do you know what Faraday's law is?
 

FAQ: Electromagnetic induction question

How does electromagnetic induction work?

Electromagnetic induction is the process of generating an electric current by moving a conductor through a magnetic field or by changing the magnetic field around a stationary conductor. This movement or change in magnetic field creates a flow of electrons, resulting in an electric current.

What is Faraday's law of electromagnetic induction?

Faraday's law states that the magnitude of the induced electromotive force (EMF) in a circuit is directly proportional to the rate of change of the magnetic flux through the circuit. In simpler terms, the faster the magnetic field changes, the greater the induced current will be.

What is Lenz's law and how does it relate to electromagnetic induction?

Lenz's law is a consequence of Faraday's law and states that the direction of the induced current will always be such that it creates a magnetic field that opposes the change in the original magnetic field. In other words, the induced current will flow in a direction to counteract the change in the magnetic field.

What are some real-world applications of electromagnetic induction?

Electromagnetic induction has numerous practical applications, including generators, transformers, induction cooktops, and wireless charging. It is also used in technologies such as electric motors, speakers, and magnetic levitation trains.

How is electromagnetic induction related to electricity and magnetism?

Electromagnetic induction is a phenomenon that occurs due to the relationship between electricity and magnetism. Moving electric charges (current) create a magnetic field, and a changing magnetic field can induce an electric current. This connection between electricity and magnetism is described by Maxwell's equations.

Similar threads

Find the magnetic induction vector
Replies
3
Views
458
How to calculate the mutual inductance?
Replies
3
Views
2K
Electromagnetic Induction (Long straight wire above circulua
Replies
1
Views
3K
Understanding self-inductance in a solenoid.
Replies
3
Views
708
The direction of induced current and magnetic field produced
Replies
12
Views
2K
EMF induced in a coil encircling an ideal solenoid
Replies
2
Views
2K
Mutual inductance of a long wire and a triangular loop?
Replies
2
Views
9K
Lenz's law: Current induced in a split loop by a changing B-field
Replies
6
Views
2K
An Interesting Question on Faraday's Law of Electromagnetic Induction
Replies
11
Views
2K
Deduction about Magnetic Poles surrounding a Conductor
2
Replies
40
Views
2K

Hot Threads

Recent Insights

Back
Top