Your employer asks you to build a 22-cm-long solenoid with an Interior field of

Question

Your employer asks you to build a 22-cm-long solenoid with an Interior field of 5.0 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? What current will you need? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Part A

Wire #18

Part B

no of turns

N = 22/0.102 = 215.68

B = uNi/L

substituting given values we get

i = 4.058 A

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