Magnetic Field from Two Wires help?

[S_L_G]

Homework Statement

http://session.masteringphysics.com/problemAsset/1004684/21/189576A.jpg

Point M is located a distance 2d from the midpoint between the two wires. Find the magnitude of the magnetic field created at point M by wire 1.<---Already did; answer was B_1M = ((u_0)I)/(2sqrt(5)pi*d)

I have to do this:

Find the magnitude of the net magnetic field B_M created at point M by both wires.

Homework Equations

B(wire) = ((u_0)I)/(2pi*d)

The Attempt at a Solution

I already found the angle to be 63.4 degrees, resulting in

B_M = 2*cos(63.4)((u_0)I/2pi*sqrt(d^2+(2d^2))),

but the system said that I had an incorrect multiplier...

What am I doing wrong?

 

[anathema]

Thank you for your post. It seems like you are on the right track with your attempt at solving this problem. However, there are a few things that may be causing your incorrect multiplier. Here are some suggestions to help you find the correct solution:

1. Make sure you are using the correct formula for calculating the magnetic field of a wire. The formula you provided in your post is for the magnetic field at the center of a circular wire, but in this problem, you are calculating the magnetic field at a point located a distance 2d from the midpoint between two parallel wires. The correct formula for this situation is B = (u_0*I)/(2*pi*d), where d is the distance from the wire to the point.

2. Check your calculations for the angle. The angle you found, 63.4 degrees, is not the correct angle for this problem. In order to find the net magnetic field at point M, you need to consider the magnetic fields created by both wires. This means you will need to use the angle between the two wires, which is not given in the problem. However, you can use trigonometry to find this angle by considering the triangle formed by the distance d, the distance 2d, and the distance between the wires.

3. Consider the direction of the magnetic fields. The formula for the magnetic field of a wire gives the magnitude of the field, but it does not tell you the direction. In order to find the net magnetic field at point M, you will need to consider the direction of the magnetic fields created by both wires. This means you will need to use the vector sum of the two magnetic fields, taking into account their directions and magnitudes.

I hope these suggestions help you find the correct solution. Remember to double check your calculations and make sure you are using the correct formulas for this problem. Good luck!