**Understanding Magnetic Force on a Current Carrying Wire**When a wire carrying an electric current \( I \) is placed in a magnetic field \( \mathbf{B} \), it experiences a force. The force \( \mathbf{F} \) exerted on a segment \( L \) of the wire is given by the equation:\[ \mathbf{F} = I \mathbf{B} \times \mathbf{L} \]This is known as the Lorentz force law for a current-carrying conductor. The vector \( \times \) denotes the cross product between the magnetic field \( \mathbf{B} \) and the length segment vector \( \mathbf{L} \).### Question: Determine the Validity- **False.**- **True.**This statement is typically followed by an option for students to select whether they believe the equation is true or false based on their understanding of electromagnetic theory. The cross product results in a vector that is perpendicular to both the magnetic field \( \mathbf{B} \) and the direction of the current (represented by the vector \( \mathbf{L} \)). The magnitude of the force is given by:\[ F = I B L \sin(\theta) \]where \( \theta \) is the angle between the direction of the magnetic field and the current direction.Understanding this principle is essential in fields like electromagnetism and forms the basis for the operation of electric motors and many other devices in modern technology.

Answered: Image /qna-images/answer/af135118-566e-4eff-a8db-60e6cedb72cc.jpg

Answered: A wire carrying a current / is placed…

A wire carrying a current / is placed in a magnetic field B. The force exerted on a segment L of the wire is F = IB × I False. True.

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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