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57. 56. 45. ee A long, hollow wire has inner radius R; and outer radius R2. The wire carries current I uniformly distributed across the area of the wire. Use Ampére’s law to find an expression for the magnetic field strength in the three regions 0 < r < Ri, Ri if Ry =iR2. Figure P29.56 ¢ Find an expression for the magnetic field strength at the center (point P) of the circular arc in Figure P29.450. Figure P29.45 2 12. °° What are the magnetic fields at points a to c in Figure EX29.12!5? Give your answers as vectors. Figure EX29.12 Long wires bo /e . $—x(em 1 2 é WA ** An electron moves along the z-axis with v, = 2.0 x 10’ m/s. As it passes the origin, what are the strength and direction of the magnetic field at the (x, y, z) positions (a) (1 cm, 0 cm, 0 cm), (b) (0 cm, 0 cm, 1 cm), and (c) (0 cm, 1 cm, 1 cm)? ** What is the magnetic field at the position of the dot in Figure EX29.6? Give your answer as a vector. Figure EX29.6 10cm 20 x 107 m/s -—-—2 “T0em Proton