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A long, hollow, cylindrical conductor (inner radius 2.0 mm, outer radius 4.0 mm) carries a current of 49 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 55 A in the opposite direction. What is the magnitude of the magnetic field (a) 1.2 mm. (b) 2.1 mm, and (c) 4.0 mm from the central axis of the wire and cylinder?
A long, hollow, cylindrical conductor (inner radius 3.4 mm, outer radius 4.6 mm) carries a current of 49 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 52 A in the opposite direction. What is the magnitude of the magnetic field (a) 1.0 mm, (b) 3.5 mm, and (c) 5.3 mm from the central axis of the wire and cylinder? Number Units Number Units Number Units
A long, hollow, cylindrical conductor (inner radius 8.0 mm, outer radius 16.0 mm) carries a current of 14 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 14 A in the opposite direction. What is the magnitude of the magnetic field at the following distances from the central axis of the wire and cylinder? (a) 4.0 mm 0.00071 (b) 12.0 mm 0.0002333 X T (c) 20.0 mm 0.00014...
4. (25 points) A hollow conducting pipe has an inner radius of 2a/5 and an outer radius of a. The cross section is as shown below. It carries a current of magnitude Iwith uniform current density within the conductor material. Using Ampere's Law, find the magnetic field magnitude in each region as a function of radius (in the cavity contained within the pipe, within the pipe itself, and outside the pipe). Sketch a graph of the magnetic field magnitude as...
The cross-section of a long cylindrical shell conductor of inner radius a=2.63 cm and outer radius b=8.16 cm carries a current into the page. The current density J (current/area) is uniform across the shell from r=a to r=b and has the magnitude J=2371 A/m2 where r is the distance from the axis of the shell. Find the magnitude of the magnetic field at r=(a+b)/2
The cross-section of a long cylindrical shell conductor of inner radius a=2.43 cm and outer radius b=7.33 cm carries a current into the page. The current density J (current/area) is uniform across the shell from r=a to r=b and has the magnitude J=3452 A/m2 where r is the distance from the axis of the shell. Find the magnitude of the magnetic field at r=(a+b)/2
A solid cylindrical conducting shell of inner radius a -4 cm and outer radius b 6.7 cm has its axis aligned with the z axis as shown. It carries a uniformly distributed current l2- 7.8 A in the positive z-direction. An inifinte conducting wire is located along the z-axis and carries a current i1 = 3.6 A in the negative z-direction. , R(7074, 707d) R(7074.7074) Pido) 1) What is By(P), the y-component of the magnetic field at point P, located...
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,...
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 long pipe of outer radius 3.80 cm and inner radius 3.23 cm carries a uniform charge density of 6.22 mC/m3. Using Gauss\'s law and assuming the pipe is sufficiently long to consider it infinitely long, calculate the electric field r = 7.98 cm from the centerline of the pipe.