Finding the magnetic field strength

[johndough999]

Homework Statement

There exists a current of 5A in the ay direction at x=2m,z=-2m where the ay is the unit vector in the y direction. Find the magnetic field strength at the origin.

Homework Equations

B = (μI/2πR) * r
B = μH

The Attempt at a Solution

B = (μI/2πr)
B= (4π*10^-7)(5)/2π(2)
where r is the distance from origin, in this case r=2m.
B=5*10^-7 T

I believe I am not finding the correct distance from the origin.Not using the z axis at all.
Thanks for the help!

 

[Hesch]

Amperes law:

Cirkulation ∫ H ⋅ ds = N * I →

H = I / (2πr)

r = √(2²+2²) (pythagoras).

You should not find B, as it is the magnetic induction (flux-density).

 

[johndough999]

Hi Hesch, to find the distance from the origin are you using the following formula?
√ X^2 + Y^2 + Z^2

 

[Hesch]

No, I'm using r = √(x²+z²)

Plot the locations of the conductor and the origin in the plane: y = 0.

 

[johndough999]

Thanks for the help hesch!