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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Chapter1: Units, Trigonometry. And Vectors
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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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