Your employer asks you to build a 24-cm-long an interior field of 4.6 mT. The sp

Question

Your employer asks you to build a 24-cm-long an interior field of 4.6 mT. The specifications call for a single layer of wire, wound with the coils as close together as possible. You have two spools of wire available. Wire with a #18 gauge has a diameter of 1.02 mm and has a maximum current rating of 6 A. Wire with a #26 gauge is 0.41 mm in diameter and can carry up to 1 A. Which wire should you use? #26 #18 What current will you need? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

N = l / d = 0.24 / 0.00102 = 235 turns

I = B L / mu0 N = (4.6 * 10-3 * 0.24) / (4pi * 10-7 * 235) = 3.74 A

N = l / d = 0.24 / 0.00041 = 585 turns

I = B L / mu0 N = (4.6 * 10-3 * 0.24) / (4pi * 10-7 * 585) = 1.50 A

#18 is suitable

I = 3.74 A

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