Question

You have been asked to design a magnetic trap for your summer internship.

(a) First, consider a circular loop of wire of radius R located in the xz plane and carrying a steady current. Determine the magnetic field at an axial point P a distance x from the center of the loop. (Make sure to include a sketch.)

(b) But, one loop isn’t going to get you enough B field strength, so you have to wrap 48 loops (8 layers of 6 windings). But since the loop is small, you need to consider the effects of the wire’s size. The wires have a 2.4 mm outer diameter and a 1.2 mm inner diameter. The coil consists of an inner diameter of 10 mm and an outer diameter of 47 mm. Numerically (Excel is good) find and plot the magnetic field at an axial point P a distance x from the center of the loop. (I=100 Amps is reasonable)

(c) If another coil is placed 27 mm away and has opposite current. Plot the B field as a function of at an axial point P a distance x from the center of the loops.

Answer 1