6. The Solenoid: Figure 19.5 (a) shows a long cylinder, of length L, around which a...

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6. The Solenoid: Figure 19.5 (a) shows a long cylinder, of length L, around which a wire carrying current I is wound N times, with n = N/L windings per unit length. This arrangement is called a "solenoid'. Figure 19.5 (b) shows a cross section of the solenoid, in a plane through its axis. Here and denote current directions pointing into the page and out of the page, respectively. I ....... 0000000 I C L (a) dl (b) Figure 19.5: I DOO 00000 (a) What is the direction of the total magnetic field at a point like P inside the solenoid and far from the ends of the solenoid? (b) It is found experimentally that the magnetic field is zero at a point like P' outside the solenoid and far from the ends of the solenoid. Use Ampere's Law on the rectangular loop C shown in Figure 19.5, and symmetry arguments about the direction of the magnetic field, to find the magnitude of the magnetic field at a point P inside a very long ("infinite") solenoid. Does this result depend on where inside the solenoid the point P is? 6. The Solenoid: Figure 19.5 (a) shows a long cylinder, of length L, around which a wire carrying current I is wound N times, with n = N/L windings per unit length. This arrangement is called a "solenoid'. Figure 19.5 (b) shows a cross section of the solenoid, in a plane through its axis. Here and denote current directions pointing into the page and out of the page, respectively. I ....... 0000000 I C L (a) dl (b) Figure 19.5: I DOO 00000 (a) What is the direction of the total magnetic field at a point like P inside the solenoid and far from the ends of the solenoid? (b) It is found experimentally that the magnetic field is zero at a point like P' outside the solenoid and far from the ends of the solenoid. Use Ampere's Law on the rectangular loop C shown in Figure 19.5, and symmetry arguments about the direction of the magnetic field, to find the magnitude of the magnetic field at a point P inside a very long ("infinite") solenoid. Does this result depend on where inside the solenoid the point P is?

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The image shows a diagram of a solenoid which is an electrical component made up of a wire coiled into a helical shape The description provided indicates its length as L and that the wire has been wou... View the full answer