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3. A point charge q is located at position 7, = dâ&. An infinite solenoid with n turns/length and radius a « d is positioned along the z-axis. The solenoid is carrying a steady current / that circulates in the 6 direction. The following approximation may be useful: = a 1+ ) + 0 C)). 2 (d2+z where i is a position inside the solenoid. (a) Find the total linear momentum in the fields to leading order in a/d. (b) Find the total angular momentum (about the origin) in the fields to leading order in a/d.
Transcribed Image Text:3. A point charge q is located at position 7, = dâ&. An infinite solenoid with n turns/length and radius a « d is positioned along the z-axis. The solenoid is carrying a steady current / that circulates in the 6 direction. The following approximation may be useful: = a 1+ ) + 0 C)). 2 (d2+z where i is a position inside the solenoid. (a) Find the total linear momentum in the fields to leading order in a/d. (b) Find the total angular momentum (about the origin) in the fields to leading order in a/d.
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