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Consider a very long non-conducting cylinder has an inner cylinder with radius Riand uniform charge density p1, and a cylindrical shell with inner radius R1, outer radius R2, and uniform charge density p2. The tube moves to the right with a constant velocity parallel to its axis, so that the moving charge in the inner cylinder creates a constant current I1, and the moving charge in the outer cylinder creates a constant current I2. a) Draw and label an Amperian loop and use it to determine the magnitude of the magnetic field at a distance r< R1 from the center of the central axis of the rod. B(r < R1) = , b) Draw and label an Amperian loop and use it to determine the magnitude of the magnetic field at a distance R1

Consider a very long non-conducting cylinder has an inner cylinder with radius Riand uniform charge density p1, and a cylindrical shell with inner radius R1, outer radius R2, and uniform charge density p2. The tube moves to the right with a constant velocity parallel to its axis, so that the moving charge in the inner cylinder creates a constant current I1, and the moving charge in the outer cylinder creates a constant current I2. a) Draw and label an Amperian loop and use it to determine the magnitude of the magnetic field at a distance r< R1 from the center of the central axis of the rod. B(r < R1) = , b) Draw and label an Amperian loop and use it to determine the magnitude of the magnetic field at a distance R1

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Consider a very long non-conducting cylinder has an inner cylinder with radius R1and uniform charge density p1, and a cylindrical shell with inner radius R1, outer radius R2, and uniform charge density p2. The tube moves to the right with a constant velocity parallel to its axis, so that the moving charge in the inner cylinder creates a constant current I1, and the moving charge in the outer cylinder creates a constant current I2. a) Draw and label an Amperian loop and use it to determine the magnitude of the magnetic field at a distance r< R1 from the center of the central axis of the rod. B(r < R1) = b) Draw and label an Amperian loop and use it to determine the magnitude of the magnetic field at a distance R1 <r<R2 from the center of the central axis of the rod. B(R1 <r < R2) = .
Transcribed Image Text:Consider a very long non-conducting cylinder has an inner cylinder with radius R1and uniform charge density p1, and a cylindrical shell with inner radius R1, outer radius R2, and uniform charge density p2. The tube moves to the right with a constant velocity parallel to its axis, so that the moving charge in the inner cylinder creates a constant current I1, and the moving charge in the outer cylinder creates a constant current I2. a) Draw and label an Amperian loop and use it to determine the magnitude of the magnetic field at a distance r< R1 from the center of the central axis of the rod. B(r < R1) = b) Draw and label an Amperian loop and use it to determine the magnitude of the magnetic field at a distance R1 <r<R2 from the center of the central axis of the rod. B(R1 <r < R2) = .
c) Draw and label an Amperian loop and use it to determine the magnitude of the magnetic field at a distance r> R2 from the cernter of the central axis of the rod. B(r > R2) = d) Explain why, for parts a-c, the material needs to be non-conducting.
Transcribed Image Text:c) Draw and label an Amperian loop and use it to determine the magnitude of the magnetic field at a distance r> R2 from the cernter of the central axis of the rod. B(r > R2) = d) Explain why, for parts a-c, the material needs to be non-conducting.
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