IETT BooKSOLUTIONS EXPERT Q&A; Search a Mastering Physics: Ch32Hw-Google Chrome

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IETT BooKSOLUTIONS EXPERT Q&A; Search a Mastering Physics: Ch32Hw-Google Chrome https//session Physics 2 for ionamasteringphysics.com/myct/itemview? assignmentProblemID 66067989 Scientists and Engineers (PHYS 1122) Sectio Ch32 HW Problem 32.49 Signed in as Osama S Problem 32.49 Part A Your employer asks you to build 17 cmlong solenoid with a an interior field of 4.6 mT.The Which wire should you use? specifications call for a single layer of wire, wound the coils as close together as possible. You have two spools of wire available Wine with a #18 gauge has a diameter of 1.02 mm and has a 818 maximum current rating of 6 A Wire with a #26 gauge is 0.41 mm in diameter and can carry up to 1 A. Submit MLAnswers Give Up Correct Part B What current wilyou need? Express your answer to two significant figures and include the appropriate units. I Value Units Submit My Answers give Provide Feedback

Explanation / Answer

here,

Length , L = 17 cm = 0.17 m

magnetic field , B = 4.6 mT

part a) for the close wound solenoid

number of turns needed is N

B = u0 * N * I/L

4.6 *10^-3 = 4pi *10^-7 * N * I/0.17

N * I = 622.3

for the #18 wire

number of turns , N = 17 *10^-2/(1.02 *10^-3) = 166.7

maximum value of N * I

N * I = 166.7 * 6 = 1000

for the #26 wire

N = 17 *10^-2/(0.41 *10^-3) = 414.6

N * I = 414.6 * 1 = 414.6

hence, the #26 wire must be used

b)

as N = 166

let the current is I

B = u0 * N * I/L

4.6 *10^-3 = 4pi *10^-7 *166 * I/0.17

solving for I

I = 3.78 A

the current value needed is 3.78 A

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