The analagous situation for Ampere's Law is a long cylindrical shell carrying a uniformly-distributed current I. Inside the hollow part of the cylinder the magnetic field is zero (an amperian loop encloses no current) and outside the cylinder the magnetic field is the same as that from a long straight wire placed on the axis of the cylinder:
B = µ0I/2πr
B = 4π 10-7*3/2π12*10-3
B = 50*10-6T
2 Question A Hallow cylinder with an inner radius of 4.00mm and an outer radius of...
A hollow cylinder with an inner radius of 4.00 mm and an outer radius of 30 mm conducts a 3.0-A current flowing parallel to the axis of the cylinder. If the current density is uniform throughout the wire, what is the magnitude of the magnetic field at a point 12 mm from its center in units of 10-T? W = 4TX 107 Tm/A)
A hollow cylinder with an inner radius of 4.00 mm and an outer radius of 30 mm conducts a 3.0-A current flowing parallel to the axis of the cylinder. If the current density is uniform throughout the wire, what is the magnitude of the magnetic field at a point 12 mm from its center in units of 106T? Wo = 41TX 107T m/A)
Please explain all steps, equations, and concepts involved.
A hollow cylinder with an inner radius 2.00 mm of and an outer radius of 12.00 mm conducts an 8.0-A current flowing parallel to the axis of the cylinder. If the current density is uniform throughout the wire, what is the magnitude of the magnetic field at a point 7.00 mm from its center? [50 points)
The figure shows a hallow metal sphere with inner radius 2.10 cm and outer radius 13.1 cm and a point charge at the center. The inner surface of the hollow sphere has a total charge of 8.70 nC and the outer surface has a total charge of-22-9 nc Calculate the value of the charge at the center of the metal sphere. Answer Calculate the magn tude electric field a distance 24.0 cm from the center of the sphere Answer: fthe...
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 (a) Calculate the magnetic field at distance r = 13.5 cm from the center of the conductor Select one a. 13640.60 E-7 T b. 501.03 E-7 T c. 219.45 E-7 T A hollow cylindrical conductor of inner radius a = 9 cm, and outer radius b = 22.5 has...
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...
3 part Question?
A hollow cylindrical conductor of inner radius a = 9 cm, and outer radius b = 22.5 has a non- uniform current density J = r^2 in units of A/m2 . . i . Р (a) Calculate the magnetic field at distance r = 13.5 cm from the center of the conductor. Select one: a. 13640.60 E-7 T b. 219.45 E-ZT c. 501.03 E-7T A hollow cylindrical conductor of inner radius a = 9 cm, and outer...
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
Cross-sectional View (current into page) A section of a long conducting cylinder with inner radius a and outer radius b carries a current lo that has a uniform current density, as shown in the figure above. (a) Using Ampère's law, derive an expression for the magnitude of the magnetic field in the following regions as a function of the distance r from the central axis. t. r<a ii. a<r<b (b) On the cross-sectional view in the diagram above, indicate the...