Magnetic field of circular loop

[Qaztgbe]

Homework Statement

Two small identical circular loops carrying equal currents are placed with the geometrical axis perpendicular to each other. Find the magnitude and direction at a point O at an equal distance x from their centers.

Homework Equations

Magnetic field of a current carrying circular loop at a distance x on it's axis : μIR²/2x³ when x>>>R

The Attempt at a Solution

Let μIR²/2x³ = B
Then magnitude should be (2^1/2)B(Fields perpendicular to each other)
Inclined at an angle 45° with the horizontal.

Are my directions right?

 

[DukeLuke]

Your equation for the magnetic field seems like it's missing a factor of 2 in the denominator. Also, check your vector addition when adding the magnitudes of the fields.

 

[SammyS]

Directions look right, although, it's hard for the viewer to be certain of the direction of current flow.

B^1/2 is not correct. That's the square root of B.

 

[Qaztgbe]

!
Sorry about that. I meant, (2^1/2)B (I don't know how to make the squareroot symbol here) And yes, the equation was missing a 2. Typo again.
I don't have any problems with the magnitude. Just the direction. The solution in my book has a direction opposite to the one I got.