Explanation Given Info: The distance between line segment and bending point C is d = 3.00 cm , length of line segment ( d l ) is 2.00 mm and current in wire I is 28 .0 A Determine magnetic field for one line segment A since point P is the mid point between two the line segment Formula to determine the magnitude of magnetic field at point P to line segment A , d B 1 = μ 0 4 π I d l sin ϕ r 2 (I) μ 0 is the magnetic constant, I is the current in the element, r is the distance between the two line segment, d l is the length of line segment, ϕ is the angle between bend of wire. Formula to find the distance from the line segment to point P , r = 1 2 ( A C ) 2 + ( B C ) 2 Substitute 3.00 cm for A C , and 3.00 cm for B C to find r r = 1 2 ( 3.00 cm ) 2 + ( 3.00 cm ) 2 = 2.121 cm Formula to determine the angle between bend of wire, ϕ = arcsin ( A P A C ) Substitute 3.00 cm for A C , and 2.121 cm for A P to find ϕ ϕ = arcsin ( 2.121 cm 3.00 cm ) = 45 ° Substitute 4 π × 10 − 7 T ⋅ m / A for μ 0 , 28

13th Edition

ISBN: 9781269542661

Author: YOUNG

Publisher: PEARSON C

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Chapter 28, Problem 28.13E

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The magnitude and direction of magnetic field at point P

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Chapter 28, Problem 28.12E

Chapter 28, Problem 28.14E

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Chapter 28 Solutions

MASTERINGPHYSICS W/ETEXT ACCESS CODE 6

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The magnitude and direction of magnetic field at point P

Solution Summary: The author explains that the magnitude of the magnetic field at point P is 1.76 and direction will be into the page.

The magnitude and direction of magnetic field at point P

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Chapter 28 Solutions