45. It is desired to construct a solenoid that will have a resistance of 5.00 N (at 20.0°C) and produce a mag- netic field of 4.00 × 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 required length of the solenoid.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
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Chapter22: Magnetic Forces And Magnetic Fields
Section: Chapter Questions
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Can you solve the problem in the picture below for #45?

45. It is desired to construct a solenoid that will have a
resistance of 5.00 N (at 20.0°C) and produce a mag-
netic field of 4.00 × 102 T at its center when it carries
a current of 4.00 A. The solenoid is to be constructed
from 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
copper
required length of the solenoid.
Transcribed Image Text:45. It is desired to construct a solenoid that will have a resistance of 5.00 N (at 20.0°C) and produce a mag- netic field of 4.00 × 102 T at its center when it carries a current of 4.00 A. The solenoid is to be constructed from 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 copper required length of the solenoid.
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