ASSighihent FULL SCREEN PRINTER VERSION BACK NEXT Chapter 29, Problem 062 In the

Question

ASSighihent FULL SCREEN PRINTER VERSION BACK NEXT Chapter 29, Problem 062 In the figure, current i 56.9 mA is set up in a loop having two radial lengths and two semicircles of radii a 4.34 page) of the magnetic field at P and the (c) magnitude and (d) direction (into or out of the page) of the loops cm and b 9.68 cm with a common center P. What are the (a) magnitude and (b) direction (into or out of the magnetic dipole moment? (a) Number Units (c) Number Units | SHOW HINT LINK TO TEXT MATH HELP Privacy Policy. I © 2000-2018 John Wiley & Sons, Inc. All Rights Reserved. A Division of John Wiley & Sons, Inc Version 4.24

Explanation / Answer

a)

Now magnetic field at point P due to loop having radius b is

B1 =uopiI/4pib

magnetic field at point P due to loop havingradius a is

B2 =u0piI/4pia

Now net magnetic field at P is

B = B1 + B2 = uopiI/4pib + uopiI/4pia

B = [( 4pi*10-7 )*(0.0569)/4]*[1/0.0968+ 1/0.0434 ]

B=5.965*10-7 A

b)

Into the page

c)

total area of the loop is

A =pi*(a2+b2)/2 =pi*(0.04342+0.09682)/2 =0.017677 m2

Then magnetic moment

u =iA   =IA =(56.9*10-3)(0.017677)

u=1.006*10-3A-m2

d)

into the page

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