# Induced current in a square coil by a current-carrying wire

• greg_rack
In summary, the conversation discussed the speaker's explanation of their thinking behind a problem. They assumed an area between a wire and the left side of a coil, with a -z field, and noticed that the flux generated must be cancelled by a +z field on the right side of the wire. They also discussed the remaining area to the right of the coil, where a decreasing +z field contributes to the total flux of the coil and creates an induced EMF and current in the counter-clockwise direction. The other person confirmed that the analysis was correct.
greg_rack
Gold Member
Homework Statement
Consider the situation below.
The wire carries a current ##I(t)## decreasing with time, in the direction ##-\hat{y}##. In which direction is the induced current moving in the conductive square coil?
Relevant Equations

I'll try to explain to you my thinking behind this problem... tell me if it's correct or not.
In short, I have assumed the area enclosed between the wire and the left side of the coil to be ##A## in which is present a ##-\hat{z}## field, and noticed that the flux it generates must be canceled by that in the ##+\hat{z}## direction present immediately at the right of the wire, enclosed in the same ##A## area.
Now, all we are "left" with, is the area to the very right of the coil, with a ##+\hat{z}## decreasing(since ##I## is decreasing) field which contributes to the total flux of the coil; for FNL's law, this will create an induced EMF and hence a current in the counter-clockwise direction.

Am I correct?

berkeman
Yes, that's correct. Your analysis is very good.

greg_rack and berkeman
TSny said:
Yes, that's correct. Your analysis is very good.
That's great, thank you very much!

berkeman

## 1. How does a current-carrying wire induce a current in a square coil?

When a current-carrying wire is placed near a square coil, the changing magnetic field created by the wire induces a current in the coil. This is due to Faraday's law of induction, which states that a changing magnetic field will induce an electromotive force (EMF) in a nearby conductor.

## 2. What factors affect the strength of the induced current in a square coil?

The strength of the induced current in a square coil is affected by the strength of the current in the wire, the distance between the wire and the coil, and the number of turns in the coil. A stronger current, closer distance, and more turns will result in a stronger induced current.

## 3. How can the direction of the induced current be determined in a square coil?

The direction of the induced current in a square coil can be determined using Lenz's law. This law states that the induced current will flow in a direction that opposes the change in magnetic field that produced it. The right-hand rule can also be used to determine the direction of the induced current.

## 4. What is the purpose of using a square coil in this experiment?

A square coil is used in this experiment because it allows for a more uniform distribution of the induced current. The square shape ensures that all sides of the coil are equally affected by the changing magnetic field, resulting in a more accurate measurement of the induced current.

## 5. How is the induced current in a square coil related to the magnetic field strength of the current-carrying wire?

The induced current in a square coil is directly proportional to the strength of the magnetic field created by the current-carrying wire. This means that as the magnetic field strength increases, the induced current in the coil will also increase. This relationship is described by Faraday's law of induction.

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