10.1 Two parallel wires, located in air, carry equal and opposite currents and are separated by a distance of 0.5 m. Determine the maximum current they may carry such that the force per unit length of the conductors does not exceed 5 N/m.

10.2 The B-field in a certain region in space is given by B = 0.03 a _x + 0.2 a _y T. In this field a conductor, carrying 20 A of current, is located in the xz plane. The coordinates of the ends of the conductor are (0, 0, 0) and (1, 0, 1) m. What is the force on the conductor?

10.3 The magnetic vector potential in a certain region is given by A = a a _r + br a _? + c a _z. Determine the corresponding B.

10.4 A 2-m-long straight conductor carries 5 A in current. Locate the origin of a cylindrical coordinate system at the midpoint of the conductor and find the magnetic vector potential at (0.5, ?, 0).

10.5 In a certain conducting region, H = -4 y ³ a _x (A/m). Calculate the current through a square of side 1 m, with one corner at the origin and the sides coinciding with the positive x and y axes.

10.6 Find the...