Why choose a rectangular surface for flux calculation near a wire?

In summary, a rectangular loop near a wire emf refers to a circuit setup where a rectangular loop of wire is placed near a straight wire, resulting in an induced electromagnetic field (emf) in the loop. This occurs because the changing magnetic field created by the current in the straight wire induces an emf in the loop. The strength of the induced emf is directly proportional to the rate of change of the current in the wire, and is affected by factors such as the distance between the wire and the loop, and the size and shape of the loop. This phenomenon has practical applications in devices such as transformers, generators, and electric motors, as well as in wireless charging technology.
  • #1
darksyesider
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Homework Statement



http://web.mit.edu/viz/EM/visualizations/coursenotes/modules/guide10.pdf

pg: 10-17


Homework Equations





The Attempt at a Solution




I do not understand conceptually, why we chose the rectangular surface to take the flux over. Can anyone explain this please? i am having great trouble with it.

thank you.
 
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  • #2
It just makes it easy mathematically to demonstrate the calculation. Any other weird shape will need numerical techniques to do the integral.
 

FAQ: Why choose a rectangular surface for flux calculation near a wire?

What is a rectangular loop near wire emf?

A rectangular loop near wire emf refers to a circuit configuration where a rectangular loop of wire is placed near a straight wire, resulting in an induced electromagnetic field (emf) in the loop.

How does a rectangular loop near wire emf work?

When a current flows through the straight wire, it creates a changing magnetic field around it. This changing magnetic field induces an emf in the rectangular loop, causing a current to flow through the loop.

What is the relationship between the emf induced in the loop and the current in the straight wire?

The emf induced in the loop is directly proportional to the rate of change of the current in the straight wire. This means that the stronger the current in the wire, the stronger the induced emf in the loop.

What factors affect the magnitude of the induced emf in the loop?

The magnitude of the induced emf in the loop depends on the strength of the current in the straight wire, the distance between the wire and the loop, and the size and shape of the loop.

What are some practical applications of a rectangular loop near wire emf?

This phenomenon is used in devices such as transformers, generators, and electric motors. It is also used in wireless charging technology, where a charging pad induces an emf in a device's loop antenna to charge its battery.

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