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ID: 1385075 • Letter: E

Question

e II H) U.S. 81% Thu 10:49 PM a Chrome File Edit View History Bookmarks People Window Help Mastering Physics: Homework #8 (Chapter 24) https:// session masteringphysics.com/ PHY 172/174 Spring 2015 He l Close Homework #8 (Chapter 24 Problem 24 Resources previous l 4 of 15 l next Problem 24.20 Part A You have a 1.9m long copper wire. You want to make an What will be the diameter of your coil? N-turn current loop that generates a 1.4mT magnetic Express your answer using two significant figures field at the center when the current is 1.5A.You must use the entire wire d- 0.016 m Submit My Answers Give Up incorrect, Try Again; 4 attempts remaining Continue Provide Feedback

Explanation / Answer

Note that one turn has length

C = pi d

Thus, the number of turns you could do is

N = L / [pi d]

As for a current loop, the field at the center is

B = uo N I / d

Then

B = uo I L / [pi d^2]

Thus,

d = sqrt { uo I L / [pi B] }

Thus,

d = 0.02854 m   [ANSWER]