# How to Calculate Flux Density at a Point Using a 3-A Current?

• LandonV
In summary, the conversation is about someone seeking help with solving for the flux density at a point using a 3-A current. They have provided an image of their problem and the relevant equation, but are unsure of how to solve it and have not found helpful explanations online. They are asking for assistance.
LandonV

## Homework Statement

Someone else posted up this image on yahoo answers and my question is very similar except the numerical figures are different really.

How can i solve for for the flux density at the point using the 3-A current?

## Homework Equations

B = I x 10^-7 $$\int$$lbla (sin$$\Theta$$/r2)dl

## The Attempt at a Solution

B=3 x 10^-7/.02m $$\int$$lbla (sin 90/2.52).07m

I am no even sure if I am attempting this correctly. Everything I'm reading doesn't really explain the steps to get the answer. They give other examples that look nothing like my problem so I am lost as can be. Can someone help me out here?

Last edited by a moderator:
can no one help me out?

To solve for the flux density at the given point, you will need to use the formula B = I x 10^-7 \intlbla (sin\Theta/r2)dl, where B is the magnetic flux density, I is the current, and \intlbla (sin\Theta/r2)dl represents the integral of the sine of the angle divided by the distance from the point to the current, multiplied by the length of the current element. In this case, the current is 3 amps and the distance from the point to the current is 0.02 meters. The length of the current element is 0.07 meters. Therefore, the equation becomes:

B = 3 x 10^-7 \intlbla (sin 90/0.02) x 0.07

Solving for the integral, we get:

B = 3 x 10^-7 x (0.07/0.02) = 0.105 x 10^-7 T

Therefore, the flux density at the given point is 0.105 x 10^-7 Tesla. It is important to note that the units for flux density are Tesla (T), not just T. I hope this helps to clarify the steps for solving this problem.

## 1. What is flux density at a certain point?

Flux density is a measure of the amount of magnetic field passing through a specific area. It is typically represented by the symbol B and is measured in units of tesla (T).

## 2. How is flux density at a certain point calculated?

Flux density can be calculated by dividing the magnetic flux passing through an area by the area itself. The formula is B = Φ/A, where B is flux density, Φ is magnetic flux, and A is the area in square meters.

## 3. What factors affect flux density at a certain point?

The strength of the magnetic field, the size of the area, and the angle between the magnetic field and the area all affect flux density at a certain point. Additionally, the type of material the magnetic field is passing through can also impact flux density.

## 4. Why is it important to measure flux density at a certain point?

Flux density is an important measurement in understanding the strength of a magnetic field and its effects on materials and objects. It is also used in the design and optimization of magnetic devices and systems.

## 5. How is flux density at a certain point measured?

Flux density can be measured using a device called a magnetometer, which detects and measures changes in magnetic fields. Different types of magnetometers use different principles and techniques to measure flux density.

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