Figure 29-79 shows a cross section of a long cylindrical conductor of radius a =

Question

Figure 29-79 shows a cross section of a long cylindrical conductor of radius a = 4.27 cm containing a long cylindrical hole of radius b = 1.61 cm. The central axes of the cylinder and hole are parallel and are distance d = 2.00 cm apart; current i = 5.48 A is uniformly distributed over the tinted area. (a) What is the magnitude of the magnetic field at the center of the hole? (b) What is the magnitude if b = 0? (c) What is the magnitude if d = 0?

Here is a link to the figure:
http://edugen.wiley.com/edugen/courses/crs4957/art/qb/qu/c29/pict_29_65.gif

Explanation / Answer

Fort part A: B = u * i * r / (2 * pi * R^2) J = i / A = i / (pi(a^2 - b^2)) i = J * A = pi * J * a^2 = i *a^2 / (a^2 - b^2) B = u * i * r / (2 * pi * a^2) B = u * i * d / (2 * pi * (a^2 - b^2)) = # in Tesla

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