### Physics Concept Application: Identifying Negative Charges in a Magnetic Field**Problem Statement:**Three charges are moving to the right when they enter a region where there is a uniform magnetic field (B-field) directed into the page/screen. The charges have identical mass and speed. Which of the charge(s) is negative?**Diagram Description:**- The diagram shows three charged particles labeled as #1, #2, and #3 which enter the magnetic field (denoted by 'x' symbols indicating the field is directed into the page).- The paths of the charges are illustrated using dashed blue lines: - Charge #1 follows a curved path bending upward. - Charge #2 follows a clockwise circular path. - Charge #3 follows a counterclockwise circular path.The magnetic field symbol **B (into paper)** signifies that the field is pointing perpendicularly into the plane of the image.**Given Options:**- ⭕ #3 only- ⭕ #1 only- ⭕ #1, #2, and #3- ⭕ #2 only**Key Concepts:**- The force (F) on a moving charge in a magnetic field is given by \( \vec{F} = q (\vec{v} \times \vec{B}) \). - Here, \( \vec{v} \) is the velocity of the charge. - \( \vec{B} \) is the magnetic field. - The direction of \( \vec{F} \) is given by the right-hand rule for positively charged particles, and the force on a negatively charged particle will be in the opposite direction.### Analysis:1. **Path #1:** - If the force causes the charge to turn upward, the right-hand rule would indicate that the charge is positive. Since the force direction given is perpendicular to the velocity and magnetic field, this suggests Charge #1 is **not** negative.2. **Path #2:** - The clockwise path suggests a force directing radially inwards; using the right-hand rule, this path corresponds to a negative charge.3. **Path #3:** - The counterclockwise path, conversely, suggests a force directing radially outwards; using the right-hand rule, this path corresponds to a positive charge. Considering these observations, charge #2’s path conforms to the behavior of a negative charge whilst

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Three charges are moving to the right when they enter a region where there is a uniform B-field into the page/screen. The charges have identical mass and speed. Which of the charge(s) is negative? B (into paper) O #3 only O #1 only O #1, #2, and #3 O #2 only

Three charges are moving to the right when they enter a region where there is a uniform B-field into the page/screen. The charges have identical mass and speed. Which of the charge(s) is negative? B (into paper) O #3 only O #1 only O #1, #2, and #3 O #2 only

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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1. A point charge q₁ –5 µC located at (x = 0, y = 0.4 m, z = 0) is moving with speed 9 × 10ª m/s. The charge q₁ is moving in the xy-plane, and its velocity ₁ makes a 45° angle with the y-axis as shown below. Another point charge 92 8 μC is located at (x = 0, y = 0, z = 0.3 m) and is moving with velocity 6.5 × 10-4 m/s in the +z-direction. = x - V₂ 92 Z V₁ 45° 91 y (a) What is the magnetic field produced by 9₁ at the location of 9₂? (b) What is the magnetic force exerted on 92 by 9₁?
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