xi) Calculate and plot magnetic field of a (straight) coaxial cable (inner and outer conductors are...
xi) Calculate and plot magnetic field of a (straight) coaxial cable (inner and outer conductors are carrying current I in opposite directions) as a function of distance from its center. Use Ampere law.
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xi) Calculate and plot magnetic field of a (straight) coaxial
cable (inner and outer conductors are...
Consider a long coaxial cable carrying equal and opposite currents (i) on the perfectly conducting inner...
Consider a long coaxial cable carrying equal and opposite currents (i) on the perfectly conducting inner and outer conductors with air spacing, where Transverse Electro Magnetic Waves (TEM) exists in the medium. a) Determine the magnetic field intensity between the conductors b) What is the magnetic field at point P outside of the cable at a distance r from the axis? Justify your answer by the associated equations. c) Sketch the E and H field vector orientations in the cylindrical...
6. (3 points) A coaxial cable consists of a solid inner conductor of radius Ri, surrounded...
6. (3 points) A coaxial cable consists of a solid inner conductor of radius Ri, surrounded by a concentric cylindrical tube of inner radius R2 and outer radius Rs (called the shield) as shown in Figure 8. The conductors carry equal and opposite currents, I, distributed uniformly across their cross sections. Determine the magnetic field at a distance r from the axis for: (a) r< Ri (b) Ri < R2 Page 2 (c) R2<r<Rs (d) R3 (e) Plot the magnitude...
5. Consider a very long coaxial cable, comprised of concentric cylindrical conductors with some insulating gap...
5. Consider a very long coaxial cable, comprised of concentric cylindrical conductors with some insulating gap between them. In particular, the inner solid cylindrical conductor has a radius, a, and carries a total, axial current, I. However, this current is not distributed uniformly along its circular cross section. In particular, the current density of this inner conductor is J(r) = Jovi where Jo is a positive constant that is to be determined and r labels the radial distance away from...
Consider a long straight coaxial cable that carries a total current +I on its central conductor...
Consider a long straight coaxial cable that carries a total current +I on its central conductor and - I on its concentric outer shell. Assuming that the current density on both conductors is uniform (though not necessarily the same value for both), find the magnitude of the magnetic field as a function of the radial distance s from the centre of the cable. Sketch a plot your result. For this particular problem, let the central conductor have a radius a...
Problem 2 (15 points): Consider the coaxial arrangement of two very long, thin hollow conductors shown in the figure. Assume that a constant current / flows in one direction on the inner conductor, a...
Problem 2 (15 points): Consider the coaxial arrangement of two very long, thin hollow conductors shown in the figure. Assume that a constant current / flows in one direction on the inner conductor, and a constant current 31 (i.e. three times the current) flows in the opposite direction on the outer conductor. Can one use Ampere's Law to find the magnetic field at any point due to this configuration of currents, or should one use the Biot-Savart Law? Please explain....
The magnetic field 38.0 cm away from a long, straight wire carrying current 9.00 A is...
The magnetic field 38.0 cm away from a long, straight wire carrying current 9.00 A is 4740 nT. (a) At what distance is it 474 nT? (b) At one instant, the two conductors in a long household extension cord carry equal 9.00-A currents in opposite directions. The two wires are 3.00 mm apart. Find the magnetic field 38.0 cm away from the middle of the straight cord, in the plane of the two wires. (c) At what distance is it...
A coaxial cable consists of a solid inner conductor of radius a, surrounded by a concentric...
A coaxial cable consists of a solid inner conductor of radius
a, surrounded by a concentric cylindrical tube of inner
radius b and outer radius c. The conductors carry
equal and opposite currents I0distributed
uniformly across their cross-sections. Determine the magnetic
field at a distance r from the axis for the following
ranges of radii. On the figures below, draw the Amperian loop you
use in each case.
Plot your answers for the magnitude of B above on a graph...
The magnetic field 43.0 cm away from a long, straight wire carrying current 9.00 A is...
The magnetic field 43.0 cm away from a long, straight wire carrying current 9.00 A is 4190 UT. (a) At what distance is it 419 HT? cm (b) At one instant, the two conductors in a long household extension cord carry equal 9.00-A currents in opposite directions. The two wires are 3.00 mm apart. Find the magnetic field 43.0 cm away from the middle of the straight cord, in the plane of the two wires. nt (c) At what distance...
The magnetic field 37.0 cm away from a long, straight wire carrying current 7.00 A is...
The magnetic field 37.0 cm away from a long, straight wire carrying current 7.00 A is 3780 nT. (a) At what distance is it 378 nt? cm (b) At one instant, the two conductors in a long household extension cord carry equal 7.00-A currents in opposite directions. The two wires are 3.00 mm apart. Find the magnetic field 37.0 cm away from the middle of the straight cord, in the plane of the two wires. ni (c) At what distance...
The magnetic field 39.0 cm away from a long, straight wire carrying current 4.00 A is...
The magnetic field 39.0 cm away from a long, straight wire carrying current 4.00 A is 2050 nT. (a) At what distance is it 205 nT? cm (b) At one instant, the two conductors in a long household extension cord carry equal 4.00-A currents in opposite directions. The two wires are 3.00 mm apart. Find the magnetic field 39.0 cm away from the middle of the straight cord, in the plane of the two wires. nT (c) At what distance...
Consider a long coaxial cable carrying equal and opposite currents (i) on the perfectly conducting inner and outer conductors with air spacing, where Transverse Electro Magnetic Waves (TEM) exists in the medium. a) Determine the magnetic field intensity between the conductors b) What is the magnetic field at point P outside of the cable at a distance r from the axis? Justify your answer by the associated equations. c) Sketch the E and H field vector orientations in the cylindrical...
6. (3 points) A coaxial cable consists of a solid inner conductor of radius Ri, surrounded by a concentric cylindrical tube of inner radius R2 and outer radius Rs (called the shield) as shown in Figure 8. The conductors carry equal and opposite currents, I, distributed uniformly across their cross sections. Determine the magnetic field at a distance r from the axis for: (a) r< Ri (b) Ri < R2 Page 2 (c) R2<r<Rs (d) R3 (e) Plot the magnitude...
5. Consider a very long coaxial cable, comprised of concentric cylindrical conductors with some insulating gap between them. In particular, the inner solid cylindrical conductor has a radius, a, and carries a total, axial current, I. However, this current is not distributed uniformly along its circular cross section. In particular, the current density of this inner conductor is J(r) = Jovi where Jo is a positive constant that is to be determined and r labels the radial distance away from...
Consider a long straight coaxial cable that carries a total current +I on its central conductor and - I on its concentric outer shell. Assuming that the current density on both conductors is uniform (though not necessarily the same value for both), find the magnitude of the magnetic field as a function of the radial distance s from the centre of the cable. Sketch a plot your result. For this particular problem, let the central conductor have a radius a...
Problem 2 (15 points): Consider the coaxial arrangement of two very long, thin hollow conductors shown in the figure. Assume that a constant current / flows in one direction on the inner conductor, and a constant current 31 (i.e. three times the current) flows in the opposite direction on the outer conductor. Can one use Ampere's Law to find the magnetic field at any point due to this configuration of currents, or should one use the Biot-Savart Law? Please explain....
A coaxial cable consists of a solid inner conductor of radius
a, surrounded by a concentric cylindrical tube of inner
radius b and outer radius c. The conductors carry
equal and opposite currents I0distributed
uniformly across their cross-sections. Determine the magnetic
field at a distance r from the axis for the following
ranges of radii. On the figures below, draw the Amperian loop you
use in each case.
Plot your answers for the magnitude of B above on a graph...
The magnetic field 43.0 cm away from a long, straight wire carrying current 9.00 A is 4190 UT. (a) At what distance is it 419 HT? cm (b) At one instant, the two conductors in a long household extension cord carry equal 9.00-A currents in opposite directions. The two wires are 3.00 mm apart. Find the magnetic field 43.0 cm away from the middle of the straight cord, in the plane of the two wires. nt (c) At what distance...
The magnetic field 37.0 cm away from a long, straight wire carrying current 7.00 A is 3780 nT. (a) At what distance is it 378 nt? cm (b) At one instant, the two conductors in a long household extension cord carry equal 7.00-A currents in opposite directions. The two wires are 3.00 mm apart. Find the magnetic field 37.0 cm away from the middle of the straight cord, in the plane of the two wires. ni (c) At what distance...
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