It is desired to construct a solenoid that will have a resistanceof 5.00 Ω (at 20°C) and produce a magnetic field of 4.00 x10-2 T at its center when it carries a current of 4.00 A. Thesolenoid is to be constructed from copper wire having adiameter of 0.500 mm. If the radius of the solenoid is to be1.00 cm, determine (a) the number of turns of wire neededand (b) the length the solenoid should have.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter31: Gauss’s Law For Magnetism And Ampère’s Law
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It is desired to construct a solenoid that will have a resistance
of 5.00 Ω (at 20°C) and produce a magnetic field of 4.00 x
10-2 T at its center when it carries a current of 4.00 A. The
solenoid is to be constructed from copper wire having a
diameter of 0.500 mm. If the radius of the solenoid is to be
1.00 cm, determine (a) the number of turns of wire needed
and (b) the length the solenoid should have.

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