How to Calculate the X-Component of the Magnetic Moment in a Rectangular Loop?

[marchcha]

Homework Statement

A rectangular loop of wire with sides H = 22 cm and W = 77 cm is located in a region containing a constant magnetic field B = 0.82 T that is aligned with the positive y-axis as shown. The loop carries current I = 334 mA. The plane of the loop is inclined at an angle θ = 30° with respect to the x-axis.

What is μx, the x-component of the magnetic moment vector of the loop?

Homework Equations

μ = AI
A = H*W

The Attempt at a Solution

I attempted to solve the question by solving for μ like μ_x = H*W*cos(30°) however this is not the correct answer. Thanks in advance!

 

[TSny]

Be sure you draw the magnetic moment vector on your diagram and carefully note the angle that the vector makes to the x-axis or the y-axis.

 

[marchcha]

Be sure you draw the magnetic moment vector on your diagram and carefully note the angle that the vector makes to the x-axis or the y-axis.

I'm a little confused on how to find the angle that the vector maxis to the x-axis.

 

[TSny]

What is the rule for determining the direction of the magnetic moment vector?