### Understanding Magnetic Force on a Current-Carrying Wire**Question:**Which one of the following statements is true regarding the magnetic force on a current-carrying wire?1. The force is either parallel to the length of the wire or parallel to the magnetic field.2. The force is independent of the current in the wire.3. The force is always perpendicular to both the length of the wire and the magnetic field.4. The magnetic force is proportional to the speed at which the wire is moving.**Explanation:**To address the question, we need to understand the basic principles of electromagnetism, particularly the force experienced by a current-carrying wire in a magnetic field. This phenomenon is governed by the Lorentz force law, which states that the force (F) on a segment of wire carrying current (I) in a magnetic field (B) is given by:\[ \mathbf{F} = I (\mathbf{L} \times \mathbf{B}) \]Where:- \( \mathbf{F} \) is the force vector.- \( I \) is the current in the wire.- \( \mathbf{L} \) is the length vector of the wire segment.- \( \mathbf{B} \) is the magnetic field vector.- \( \times \) denotes the cross product.The cross product in this formula indicates that the force is perpendicular to both the current direction (length of the wire) and the magnetic field direction. Thus, the correct statement is:**3. The force is always perpendicular to both the length of the wire and the magnetic field.****Further Details:**- **Option 1:** Incorrect because the magnetic force is never parallel but always perpendicular due to the properties of the cross product.- **Option 2:** Incorrect because the force is directly proportional to the current (I).- **Option 4:** Incorrect as the magnetic force does not depend on the speed of the wire but on the current and magnetic field interaction.This information is critical for students and educators to understand the directional relationship between current, magnetic fields, and resulting forces in the study of electromagnetism.

Let Magnetic field vector = B Length of the wire = L Current through the wire = i Magnetic force…

Which one of the following statements is true regarding the magnetic force on a current carrying wire. The force either parallel to the length of the wire or parallel to the magnetic field. The force is independent of the current in the wire. The force is always perpendicular to both the length of the wire and the magnetic field. The magnetic force is proportional to the speed at which the wire is moving.

Which one of the following statements is true regarding the magnetic force on a current carrying wire. The force either parallel to the length of the wire or parallel to the magnetic field. The force is independent of the current in the wire. The force is always perpendicular to both the length of the wire and the magnetic field. The magnetic force is proportional to the speed at which the wire is moving.

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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