44. A current-carrying solenoid is 10 cm long and is wound with 1000 turns of wire....

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44. •• 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 T at its center.

(a) How long would the solenoid have to be to produce a field of 6.0 × 10−4 T at its center without changing the number of turns?

(b) Adjusting only the windings and not the length, what number would be needed to produce a field of 8.0×10−4 T at the center?

(c) What current in the original solenoid is needed to produce a field of 9.0×10−4 T in the opposite direction?

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