Explanation Given info: The current flowing through each wire is 2.2 A , the distance of point A from wire 1 is 7.5 cm , the distance of point A from wire 2 is 22.5 cm , the distance of point B from wire 1 is 7.5 cm , the distance of point B from wire 2 is 7.5 cm , the distance of point C from wire 1 is 22.5 cm and the distance of point C from wire 2 is 7.5 cm . Explanation: For point 1, Formula to calculate magnetic field at point A due to wire 1, B 1 A = μ o I 2 π r 1 A Here, μ o is the permittivity of the free space. I is the current flowing through the wires. r 1 A is the distance of point A from wire 1. Formula to calculate magnetic field at point A due to wire 2, B 2A = μ o I 2 π r 2A Here, r 2A is the distance of point A from wire 2. Write the expression for net magnetic field at point A, B A = B 1A + B 2A (1) Substitute μ o I 2 π r 2A for B 2 A and μ o I 2 π r 1A for B 1 A in equation (1). B A = μ o I 2 π r 1A + μ o I 2 π r 2A = μ o I 2 π ( 1 r 1A + 1 r 2A ) Substitute 4 π × 10 − 7 T ⋅ m / A for μ o , 2.2 A for I , 7.5 cm for r 1 A and 22.5 cm for r 2 A , B A = ( 4 π × 10 − 7 T ⋅ m / A ) ( 2.2 A ) 2 π ( 1 7.5 cm + 1 22.5 cm ) = ( 4 π × 10 − 7 T ⋅ m / A ) ( 2.2 A ) 2 π ( 1 7.5 cm 10 − 2 m 1 cm + 1 22.5 cm ( 10 − 2 m 1 cm ) ) = 7.8 × 10 − 6 T = 7.8 × 10 − 6 T 10 6 μT 1 T Further solve above expression to calculate the value of B A , B A = 7.8 μT The direction of the current is toward right and point A is placed to the left of wire 1 and wire 2 so direction of magnetic field will be out of the page

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ISBN: 9780134051796

Author: Walker

Publisher: YUZU

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Magnetic Force

A magnetic force arises when a charged particle or a current-carrying conductor is placed in a magnetic field. It is created because of the movement of the charged particles.

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Chapter 22, Problem 77GP

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The direction and magnitude of net magnetic force at point A, B and C.

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Chapter 22, Problem 76GP

Chapter 22, Problem 78GP

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The direction and magnitude of net magnetic force at point A, B and C.

Solution Summary: The author explains how to determine the direction and magnitude of net magnetic force at points A, B, and C.

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The direction and magnitude of net magnetic force at point A, B and C.

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