A magnetic dipole [Z is placed a distance L away from a long, straight wire carrying current Kt) out of the page, as shown in the gure below. 6) Hr) a. Initially, the wire is connected to a constant current source, such that Ht) : I0. What is the magnitude and direction of the magnetic eld due to the wire at the location of the dipole? {Refer to the coordinate axes shown in the gure. The zaxis points out of the page.) b. If the dipole is placed at an angle 9 = 500 above the horizontal, what torque is exerted on the dipole? c. What is the potential energy of the dipole when it is parallel to the magnetic eld? What is the potential of the dipole when it is antiparallel to the magnetic eld? d. Now, the wire is disconnected from the constant current source, and replaced with a timevarying current. A plot of I (t) versus t is shown below. Each time I changes signs, the dipole rotates to align itself with the magnetic eld. How much work is done on the dipole by the magnetic eld each time the current changes sign? I(t) e. Is the work done by the magnetic field positive or negative? Is energy conversed? Why or why not