You may recognize the figure below from an earlier homework. It, however, represents a very different...
You may recognize the figure below from an earlier homework. It, however, represents a very different physical situation: this is now a very long (infinite for our purposes) conducting wire in the form of a cylindrical shell. The inner radius of the shell a=2.9 mm and outer radius b=4.1 mm. The electric current I=13.5 A runs along this wire and is distributed uniformly throughout the shell cross-section. This current is the source of the magnetic field, which you will be...
You may recognize the figure below from an earlier homework. It, however, represents a very different physical situation: this is now a very long (infinite for our purposes) conducting wire in the form of a cylindrical shell. The inner radius of the shell a=2.2 mm and outer radius b=5.8 mm. The electric current I=9 A runs along this wire and is distributed uniformly throughout the shell cross-section. This current is the source of the magnetic field, which you will be...
You may recognize the figure below from an earlier homework. It, however, represents a very different physical situation: this is now a very long (infinite for our purposes) conducting wire in the form of a cylindrical shell. The inner radius of the shell a=3.5 mm and outer radius b=5.2 mm. The electric current I=10.5 A runs along this wire and is distributed uniformly throughout the shell cross-section. This current is the source of the magnetic field, which you will be...
Please solve and explain how its done. You may recognize the figure below from an earlier homework. It, however, represents a very different physical situation: this is now a very long (infinite for our purposes) conducting wire in the form of a cylindrical shell. The inner radius of the shell a=3.3 mm and outer radius b=4.7 mm. The electric current I=22.5 A runs along this wire and is distributed uniformly throughout the shell cross-section. This current is the source of...
Electricity and Magnetism: How were these answers obtained? You may recognize the figure below from an earlier homework. It, however, represents a very different physical situation: this is now a very long (infinite for our purposes) conducting wire in the form of a cylindrical shell. The inner radius of the shell a=2.7 mm and outer radius b=5.8 mm. The electric current I=18 A runs along this wire and is distributed uniformly throughout the shell cross- section. This current is the...
Using Ampere’s Law, find the magnitude of the magnetic field at a point exterior to a coaxial cable, a distance of 24 mm from the central axis. The coaxial cable consists of a wire with radius r1=1.3 mm and surrounding that, a cylindrical shell with inner radius r2=2.5 mm and outer radius r3=3.3 mm. The wire and cylindrical shell carry equal currents (4.0 A) in opposite directions. Side questions: 1. does the outer radius matter? 2. what would you do...
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
I1=13 A, I2=12 A, r=0.0033 m, a=0.0027 m, and b=0.0068 m. The figure shows a wire with current I¡ coming out of the page. It is surrounded by a cylindrical shell with inner radius a and outer radius b, and a current 12 uni- formly distributed throughout the material and coming out of the page. What is the magnitude of the magnetic field a distance r away from the center of the figure when a<r < b?
2. A modified coaxial cable consists of a solid cylinder (radius 'a') with a uniform current density and a concentric cylindrical conducting thin shell (radius 'b'). The outer and inner current have an equal magnitude, but are opposite in direction. Io (along outside) (along the axis) (off-axis view) In terms of radial distance 'r', and the relevant parameters in the diagram above, A) Derive an expression for the magnetic field inside the solid cylinder (r <a) B) Derive an expression...