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For a class demonstration, a professor needs to create a solenoid using copper wire with diameter...

For a class demonstration, a professor needs to create a solenoid using copper wire with diameter d = 0.500 mm. The resistance of the solenoid needs to be 3.30 Ω and the magnetic field of the solenoid with a current of 2.90 A should be 5.70 ✕ 10−2 T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use ρ = 1.70 ✕ 10−8 Ω · m for the resistivity of copper.)

(a) How many turns of wire does the professor need? (b) Determine the required length (in cm) of the solenoid.

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