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It is desired to construct a solenoid that will have a resistance of 4.65 Ω (at...

It is desired to construct a solenoid that will have a resistance of 4.65 Ω (at 20°C) and produce a magnetic field of 4.00 ✕ 10−2 T at its center when it carries a current of 4.55 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 the following. (The resistivity of copper at 20°C is 1.7 ✕ 10−8 Ω · m.)
(a) the number of turns of wire needed to build the solenoid
________turns
(b) the length the solenoid should have
________cm

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