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A 57.0 m length of insulated copper wire is wound to form a solenoid of radius 2

ID: 1269269 • Letter: A

Question

A 57.0 m length of insulated copper wire is wound to form a solenoid of radius 2.3 cm. The copper wire has a radius of 0.47 mm.

(a) What is the resistance of the wire?

(b) Treating each turn of the solenoid as a circle, how many turns can be made with the wire?

(c) How long is the resulting solenoid?

(d) What is the self-inductance of the solenoid?

(e) If the solenoid is attached to a battery with an emf of 6.0 V and internal resistance of 350 mO, compute the time constant of the circuit.

(f) What is the maximum current attained?

(g) How long would it take to reach 99.9% of its maximum current?

(h) What maximum energy is stored in the inductor?

Explanation / Answer

(a) What is the resistance of the wire?

? = 0.0172 ? mm

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