63. A set of Helmholtz coils (see Problem 62, Fig. 28-61 ) have a radius R = 10.0 cm and are separated by a distance R = 10.0 cm. Each coil has 85 loops carrying a current I = 2.0 A. (a) Determine the total magnetic field B along the x axis (the center line for the two coils) in steps of 0.2 cm from the center of one coil (x = 0) to the center of the other (x = R). (b) Graph B as a function of x. (c) By what % does B vary from x= 5.0 cm to x = 6.0 cm?

63. A set of Helmholtz coils (see Problem 62, Fig. 28-61 ) have a radius R = 10.0 cm and are separated by a distance R = 10.0 cm. Each coil has 85 loops carrying a current I = 2.0 A. (a) Determine the total magnetic field B along the x axis (the center line for the two coils) in steps of 0.2 cm from the center of one coil (x = 0) to the center of the other (x = R). (b) Graph B as a function of x. (c) By what % does B vary from x= 5.0 cm to x = 6.0 cm?