Explanation Section 1: To determine: The magnitude and direction of the magnetic field. Answer : The magnitude of the magnetic field is 13 T and the direction will be out of the page. Explanation : Given Info : The radius of field ( r ) is 5.3 × 10 − 11 m and the speed of electron ( v ) is 2.2 × 10 6 m/s . Formula to determine the magnitude of magnetic field, B → = μ 0 4 π q v → × r ^ r 2 Substitute r → r for r ^ to find B → , B → = μ 0 4 π q ( v → × r → r ) r 2 = μ 0 4 π q ( v → × r → ) r 3 Substitute v r sin ϕ for v → × r → to find magnitude of magnetic field B , B = μ 0 4 π q v r sin ϕ r 3 = μ 0 4 π q v sin ϕ r 2 μ 0 is the magnetic constant, q is the charge of electron, v is the velocity of electron, r is the radius field, ϕ is the angle between the B → and v → . Since magnetic field B → has its greatest magnitude at points lying in the plane perpendicular to v → at any distance r from q , ϕ = 90 ° . Substitute 4 π × 10 − 7 T ⋅ m / A for μ 0 , 1.60 × 10 − 19 C for q , 2.2 × 10 6 m / s for v , 5.3 × 10 − 11 m for r and 90 ° for ϕ to find B . B = ( 4 π × 10 − 7 T ⋅ m / A 4 π ) ( 1

University Physics, Volume 2 - Technology Update Custom Edition for Texas A&M - College Station, 2/e

1st Edition

ISBN: 9781323390382

Author: YOUNG

Publisher: Pearson Education

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Chapter 28, Problem 28.2E

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The magnitude and direction of the electric and the magnetic field.

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Chapter 28 Solutions

University Physics, Volume 2 - Technology Update Custom Edition for Texas A&M - College Station, 2/e

Ch. 28 - A topic of current interest in physics research is...Ch. 28 - Streams of charged particles emitted from the sun...Ch. 28 - The text discussed the magnetic field of an...Ch. 28 - Prob. Q28.4DQ Ch. 28 - Pairs of conductors carrying current into or out...Ch. 28 - Suppose you have three long, parallel wires...Ch. 28 - In deriving the force on one of the long,...Ch. 28 - Two concentric, coplanar, circular loops of wire...Ch. 28 - A current was sent through a helical coil spring....Ch. 28 - Prob. Q28.10DQ

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The magnitude and direction of the electric and the magnetic field.

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