MESSAGE MY INSTRUCTOR FULL SCREEN PRINTER VERSION -BACK NEXT Chapter 29, Problem

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MESSAGE MY INSTRUCTOR FULL SCREEN PRINTER VERSION -BACK NEXT Chapter 29, Problem 11 In the figure, two long straight wires are perpendicular to the page and separated by distance di- 0.75 In the figure, two long straight wires are perpendicular to the page and separated by distance di - 0.75 cm. Wire 1 carries 8 A into the page. What is the current in wire 2 (in A) if the net magnetic field due to the two currents is zero at point P located a distance d2 Wire 10 Wire 20 1.50 cm from wire 2? Number ( Units the tolerance is +/-2% SUBMIT ANSWER Question Attempts: 0 of 10 used SAVE FOR LATERSUBMIT ANSWER Copyright © 2000-2016 by John Wiley & Sons, Inc. or related companies. All rights reserved. Version 4.17.3.3 l 2999-2016 John Wiley & Sons. Inc, All Rights Reserved. A Division of John Wiley & Sons.Inc

Explanation / Answer

given that

i1 = 5.8 A

according to the condition

wire 1 has current flowing inside the page and field is zero at point p

so, wire 2 must have the cuirrent out site the page to cancel the field due to wire 1

so wire 1 and 2 should have same magnitude of megnetic field with opposite direction

B1 at point p = -B2 at point p

u0*i1 / 2*pi*(d1+d2) = -uo*i2 / 2*pi*d2

i2 = -i1*d2 / (d1+d2)

i2 = -5.8*1.50 / (0.75+1.50)

i2 = -3.82 A

(-) sign shows opposite direction of current in wire 2 than wire 1

answer

current in wire 2 is 3.82 A

c

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