20_InstSolManual_PDF_Part19 - Magnetic Field and Magnetic...

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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 fields
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