A rectangular coil consists of *N* = 130 closely wrapped turns and has dimensions *a* = 0.400 m and *b* = 0.300 m. The coil is hinged along the *y* axis, and its plane makes an angle *θ* = 30.0° with the *x* axis (see figure below).

(a) What is the magnitude of the torque exerted on the coil by a uniform magnetic field *B* = 0.630 T directed in the positive *x* direction when the current is *I* = 1.20 A in the direction shown?

(b) If you are looking downward from the positive *y* direction, what is the expected direction of rotation of the coil?