### Problem StatementA proton moving in the positive x direction with a speed of \(9.7 \times 10^5 \, \text{m/s}\) experiences zero magnetic force. When it moves in the positive y direction it experiences a force of \(1.5 \times 10^{-13} \, \text{N}\) that points in the positive z direction. Determine the magnitude and direction of the magnetic field.#### Magnitude:\[ \boxed{ \quad \text{T} \quad } \]---### ExplanationGiven that:- The proton's velocity in the x direction is \( 9.7 \times 10^5 \, \text{m/s} \) and it experiences zero magnetic force.- The proton's velocity in the y direction is associated with a force of \( 1.5 \times 10^{-13} \, \text{N} \) in the positive z direction.We need to determine the magnitude and direction of the magnetic field that causes these observations. When the proton moves in the x direction and experiences no magnetic force, it suggests that the magnetic field is also in the x direction. When the proton moves in the y direction and experiences a force in the z direction, it confirms the right-hand rule for the cross product of velocity and magnetic field vectors.Using the fact that the magnetic force \( F \) on a charged particle is given by:\[ F = q(v \times B) \]Where:- \( F \) is the force experienced by the proton- \( q \) is the charge of a proton (\( 1.6 \times 10^{-19} \, \text{C} \))- \( v \) is the velocity of the proton- \( B \) is the magnetic fieldSince the force is purely in the z direction and the proton's velocity is in the y direction, we can calculate the magnetic field magnitude \( B \).

Given data: Speed of electron (V) = 9.7×105 m/s, in +y direction Force (F) = 1.5×10-13 N, in +Z…

A proton moving in the positive x direction with a speed of 9.7 x 105 m/s experiences zero magnetic force. When it moves in the positive y direction it experiences a force of 1.5 x 1013 N that points in the positive z direction. Determine the magnitude and direction of the magnetic field. magnitude

A proton moving in the positive x direction with a speed of 9.7 x 105 m/s experiences zero magnetic force. When it moves in the positive y direction it experiences a force of 1.5 x 1013 N that points in the positive z direction. Determine the magnitude and direction of the magnetic field. magnitude

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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