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It is desired to construct a solenoid that will have a resistance of 6.00 (at 20°C) and produce a magnetic field of 4.00 10-2 T at its center when it carries a current of 4.80 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 ? · 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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