4. (25 points) A hollow conducting pipe has an inner radius of 2a/5 and an outer...
A hollow, circular cylindrical conductor in freespace of infinite length. The inner and outer radius are b and c respectively, from the center z axis. It carries a current I in z direction. (a) Find the vector current density J. (b) Use Ampere's Law to find the magnetic field B and H outside the conductor(r>c). (c) Find B inside the hollow interior(r<b). (d) Find B in the conductor(b<r<c).
As shown in the figure, a long, hollow, conducting cylinder of inner radius a and outer radius b carries a current that is flowing out of the page. Suppose that a = 4.13 cm, b = 7.83 cm, and the current i = 273 mA, uniformly distributed over the cylinder wall (between a and b). Find the magnitude of the magnetic field at each of the following distances r from the center of the cylinder: As shown in the figure,...
As shown in the figure, a long, hollow, conducting cylinder of inner radius a and outer radius b carries a current that is flowing out of the page. Suppose that a = 4.49 cm, b = 7.85 cm, and the current i = 127 mA, uniformly distributed over the cylinder wall (between a and b). Find the magnitude of the magnetic field at each of the following distances r from the center of the cylinder: a) r = 6.49 cm.
As shown in the figure, a long, hollow, conducting cylinder of inner radius a and outer radius b carries a current that is flowing out of the page. Suppose that a = 4.07 cm, b = 7.23 cm, and the current i = 221 mA, uniformly distributed over the cylinder wall (between a and b). Find the magnitude of the magnetic field at each of the following distances r from the center of the cylinder: a) r = 6.05 cm....
A hollow cylindrical conductor of inner radius 0.0132 m and outer radius 0.0291 m carries a uniform current of 7.1 A. What is the magnitude of the magnetic field at radius of 0.0193 m?
Find the magnetic field of a straight hollow conductor of inner radius c and outer radius d that carries current I.
A hollow cylindrical conductor of inner radius a = 9 cm, and outer radius b = 22.5 has a non- uniform current density J = m2 in units of A/m2 . (a) Calculate the magnetic field at distance r = 13.5 cm from the center of the conductor A hollow cylindrical conductor of inner radius a = 9 cm, and outer radius b = 22.5 has a non- uniform current density J = m2 in units of A/m2 (b) Calculate...
A solid conducting sphere of radius a is at the center of a hollow conducting sphere of inner radius b and outer radius c. The solid sphere carries a charge q > 0, the outer sphere carries an excess charge of -3q on its outer surface. derive expressions for the magnitude of the electric field in the following regions: Final answers not given.
Problem A solid conducting sphere of radius a is at the center of a hollow conducting sphere of inner radius b and outer radius c. The solid sphere carries a charge q > 0, the outer sphere carries an excess charge of -3q on its outer surface. derive expressions for the magnitude of the electric field in the following regions Final answers not given.]
4. (12 points) A coaxial cable consists of a central conducting wire of radius a and a surrounding conducting cylindrical shell of inner radius b and outer radius c. Suppose the central wire carries a current I and the outer shell carries a uniform current 21 in the same direction. Use Ampere's Law to find the magnitude of the magnetic field (a) (3 points) in the region between the wire and outer shell a <r <b, (b) (6 points) inside...