For a technical application, an electrical engineer needs to create a solenoid using copper wire with diameter d = 0.500 mm. The resistance of the solenoid needs to be 3.30 N and the magnetic field of the solenoid with a current of 2.90 A should be 5.10 x 10-2 T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p = 1.70 x 10–8 Q:m for the resistivity of copper.) (a) How many turns of wire does the electrical engineer need? 606 turns (b) Determine the required length (in cm) of the solenoid. 30.3 cm

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 64P: A solenoid with an iron core is 25 cm long and is wrapped with 100 turns of wire. When the current...
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For a technical application, an electrical engineer needs to create a solenoid using copper wire with diameter d = 0.500 mm. The resistance of the solenoid needs to be 3.30 N and the magnetic field of the
solenoid with a current of 2.90 A should be 5.10 x 10-2 T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p = 1.70 x 10–8 Q:m for the
resistivity of copper.)
(a) How many turns of wire does the electrical engineer need?
606
turns
(b) Determine the required length (in cm) of the solenoid.
30.3
cm
Transcribed Image Text:For a technical application, an electrical engineer needs to create a solenoid using copper wire with diameter d = 0.500 mm. The resistance of the solenoid needs to be 3.30 N and the magnetic field of the solenoid with a current of 2.90 A should be 5.10 x 10-2 T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p = 1.70 x 10–8 Q:m for the resistivity of copper.) (a) How many turns of wire does the electrical engineer need? 606 turns (b) Determine the required length (in cm) of the solenoid. 30.3 cm
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