1. A magnetic material fills the half-space z <0. Above it (z >0) is free space. The per-meability of free space is ?0, and the permeability of the magnetic material is 5?0. Themagnetic flux density in the magnetic material is B2= 10 ax+ 15 ay?20 az mWb/m^2. Find the magnetic field H1 in free space.
2.(a) A loop of current in the yz plane has a current in the counter-clockwise direction. What is the direction of the magnetic moment?
(b) A loop of current is placed in the xy plane in a uniform magnetic field in the positive x direction. If the current in the loop is in the clockwisedirection, what is the direction of the torque on the loop?
(c) A filamentary current along thex axis has a current in the b a x direction. A square loop of current in the xy plane centeredat (0,10,0) has a current in the counter-clockwise direction. What is the direction of the netforce on the loop?