20_InstSolManual_PDF_Part19

20_InstSolManual_PDF_Part19 - 20.64. Set Up: Solve: 20.65....

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Unformatted text preview: 20.64. Set Up: Solve: 20.65. Set Up: At the center of a long solenoid Solve: 20.66. Set Up: At the center of a long solenoid The total length of wire is Solve: (a) (b) The total length of wire is 20.67. Set Up: The magnetic field at the center of a circular loop is The magnetic field at the center of a solenoid is where is the number of turns per meter. Solve: (a) (b) The field at the center of a circular loop depends on the radius of the loop. The field at the center of a solenoid depends on the length of the solenoid, not on its radius. Reflect: Eq. (20.14) for the field at the center of a solenoid is only correct for a very long solenoid, one whose length L is much greater than its radius R. We cannot consider the limit that L gets small and expect the expression for the solenoid to go over to the expression for N circular loops. 20.68. Set Up: At the center of a solenoid, A distance R from a long straight wire, Solve: (a) (b) The magnetic field due to the wire is much less than the field at the center of the solenoid. For the solenoid, the fieldsThe magnetic field due to the wire is much less than the field at the center of the solenoid....
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