# Magnetic Field of 10cm Square Loop w/ 0.3A Current

• tag16
In summary, the problem involves a square loop of wire with a side of 10cm and a current of 0.3A. The equation for finding the magnetic field at the center of the loop is B= 2(\sqrt{}2)\muI/\piL, where \mu=IA. The area of the loop can be found using the equation B= \muI/ 2\pia. The final equation for finding the magnetic field at the center of the loop is B= (\sqrt{}2)\muI/2\pia, which should be multiplied by 4 to account for all four segments of the loop. The value of \mu can be found using the magnetic constant, which can be
tag16

## Homework Statement

A square loop of wire with a side of 10cm carries a current of 0.3A. What is the
magnetic field in the center of the square loop?

## Homework Equations

B= 2($$\sqrt{}$$2)$$\mu$$I/$$\pi$$L

$$\mu$$=IA

## The Attempt at a Solution

Not sure if these are the right equations for this problem and if they aren't then I have no idea what to do. If they are then I just need to know what the area would be.

Can you find a magnetic field created by 1 segment of a loop? It is similar to finding a magnetic field caused by long wire with current I.

B= $$\mu$$I/ 2$$\pi$$a

Is this right?

sqrt(2), i think.

so B= ($$\sqrt{}$$2)$$\mu$$I/2$$\pi$$a ?

It is just a magnitude of field due to 1 segment of a loop. Multiply it with 4. :)

ok so that equation times 4. Thanks

oh and I'm still not really sure what the area would be, I need it to figure out what $$\mu$$ is.

oh yeah, I forgot about that. Thanks again.

## What is a magnetic field?

A magnetic field is a region in space where a magnetic force can be detected. It is created by moving electric charges, such as the flow of current through a wire.

## What is a 10cm square loop?

A 10cm square loop is a closed circuit made up of four straight wires connected at their ends to form a square shape. It is often used in experiments to study magnetic fields.

## What is the significance of a 0.3A current?

The current, measured in amperes (A), is a unit of electric charge flow and is used to describe the strength of the magnetic field. A 0.3A current is a relatively low current, but it can still produce a measurable magnetic field.

## How is the magnetic field of a 10cm square loop with 0.3A current calculated?

The magnetic field of a loop can be calculated using the formula B = μ₀I/2r, where B is the magnetic field strength, μ₀ is the permeability of free space, I is the current, and r is the distance from the center of the loop to the point where the magnetic field is measured.

## How is the direction of the magnetic field determined?

The direction of the magnetic field can be determined using the right-hand rule. If the fingers of your right hand curl in the direction of the current in the loop, then your thumb will point in the direction of the magnetic field.

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