Explanation 1) Concept: We can write Lorentz factor from the electron’s kinetic energy, using the corresponding relation. Then, we can write the formula for the magnetic field on it. Then, we can substitute for v in the terms of β and can find the value of the magnetic field. 2) Formulae: i) γ = K m c 2 + 1 ii) β = v c iii) γ = 1 - v 2 c 2 iv) B = γ m e v e r 3) Given: i) K.E of electron is K = 2.50 M e V = 2.50 × 10 6 e V ii) Radius of curvature is r = 3.0 c m = 0.03 m . 4) Calculations: Lorentz factor is given by, γ = K m e c 2 + 1 From table 37-3, we can write, γ = 2.50 × 10 6 511 × 10 3 + 1 γ = 5.892 Lorentz factor is also given by γ = 1 - v 2 c 2 1 γ = 1 - v 2 c 2 And, β = v c … … … … … … … … … … … … … … … … … . . … … … … … … … … … … … … … … … …

10th Edition

ISBN: 9781118230732

Author: David Halliday

Publisher: WILEY

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Chapter 37, Problem 96P

To determine

To find:

The magnetic field B.

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Chapter 37, Problem 95P

Chapter 37, Problem 97P

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Chapter 37 Solutions

Fundamentals of Physics

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The magnetic field B.

Solution Summary: The author explains how they can write Lorentz factor from the electron's kinetic energy, using the corresponding relation, then write the formula for the magnetic field on it, and substitute for v in the terms of

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To find: The magnetic field B.

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Chapter 37 Solutions

To find:

The magnetic field B.