Question

SSM Figure 29-87 shows a cross-section of a hollow cylindrical conductor of radii a and b, carrying uniformly distributed current i. (a) Show that the magnetic field magnitude B(r) for the radial distance in the range b < r < a is given by B(r) = μ₀i/2π(a - b), where μ₀ = 4π × 10⁻⁷ T·m/A is the permeability of free space. Figure 29-87: Problem 85. (b) Show that when r = b, this equation gives the magnetic field magnitude B at the surface of a long straight wire carrying current. When r = b, it gives zero magnetic field. And when r = 0, it gives the magnetic field inside a solid conductor of radius a carrying current. Assume that a = 2.0 cm, b = 1.8 cm, and i = 100 A. Then plot B(r) for the range 0 < r < a.

          SSM Figure 29-87 shows a cross-section of a hollow cylindrical conductor of radii a and b, carrying uniformly distributed current i. (a) Show that the magnetic field magnitude B(r) for the radial distance in the range b < r < a is given by B(r) = μ₀i/2π(a - b), where μ₀ = 4π × 10⁻⁷ T·m/A is the permeability of free space. 

Figure 29-87: Problem 85.

(b) Show that when r = b, this equation gives the magnetic field magnitude B at the surface of a long straight wire carrying current. When r = b, it gives zero magnetic field. And when r = 0, it gives the magnetic field inside a solid conductor of radius a carrying current. Assume that a = 2.0 cm, b = 1.8 cm, and i = 100 A. Then plot B(r) for the range 0 < r < a.

Added by Timothy S.

Question

Please give Ace some feedback