- #1

- 28

- 0

Hi, can someone help me out? I've tried 5 different solution that I thought were definitely right and they all give me the same response: "Your answer is off by a multiplicative factor."

Find the magnitude of the net magnetic field B_L created at point L by both wires.

Express your answer in terms of I, d, and appropriate constants.

[tex]

B_{\rm wire}=\frac{\mu_0 I}{2\pi d} ,

[/tex]

The question before this: there was a question:

Point L is located a distance d\sqrt 2 from the midpoint between the two wires. Find the magnitude of the magnetic field B_1L created at point L by wire 1.

I put in the answer and got it right.

[tex]

B_1L =\left({\mu}_{0}I\right)/\left[2{\pi}\sqrt{\left(d^{2}+\left(d\sqrt{2}\right)^{2}\right)}\right]

[/tex]

So for the question at hand, I put in the same equation and multiplied by 2, figuring the net force would be the 2 separate forces added, which are equal since they both give the same direction of magnetic force and to do the same degree.

It didn't work.

So maybe it works like a loop since the top current is coming out at distance d and the bottom current is going in at distance d. d is now a radius.

so I tried

Also wrong. Tried to input it in various ways, ^(3/2), cancel out the pi's. Still wrong, "my answer is off by a multiplicative factor."

Help would be awesome!

## Homework Statement

Find the magnitude of the net magnetic field B_L created at point L by both wires.

Express your answer in terms of I, d, and appropriate constants.

## Homework Equations

[tex]

B_{\rm wire}=\frac{\mu_0 I}{2\pi d} ,

[/tex]

## The Attempt at a Solution

The question before this: there was a question:

Point L is located a distance d\sqrt 2 from the midpoint between the two wires. Find the magnitude of the magnetic field B_1L created at point L by wire 1.

I put in the answer and got it right.

[tex]

B_1L =\left({\mu}_{0}I\right)/\left[2{\pi}\sqrt{\left(d^{2}+\left(d\sqrt{2}\right)^{2}\right)}\right]

[/tex]

So for the question at hand, I put in the same equation and multiplied by 2, figuring the net force would be the 2 separate forces added, which are equal since they both give the same direction of magnetic force and to do the same degree.

It didn't work.

So maybe it works like a loop since the top current is coming out at distance d and the bottom current is going in at distance d. d is now a radius.

so I tried

Also wrong. Tried to input it in various ways, ^(3/2), cancel out the pi's. Still wrong, "my answer is off by a multiplicative factor."

Help would be awesome!

Last edited: