A current-carrying solenoid is 10 cm long and is wound with 1000 turns of wire. It produces a magnetic field of 4.0××10−4−4 T at the solenoid's center. a) How long would you make the solenoid in order to produce a field of 6.0 ××10−4−4 T at its center? b) Adjusting only the windings, what number would be needed to produce a field of 8.0××10−4−4 at the center? c) What current in the solenoid would be needed to produce a field of 9.0××10−4−4 but in the opposite direction?

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