### Problem 1: Understanding Magnetic Force**Question:**In a few sentences, describe how magnetic force is defined. We’ve learned about the right-hand rule in class. Determine the direction of force for a charge $ q_0 $ moving in a uniform magnetic field in the positive $ +\hat{i} $ direction with velocity $ \mathbf{v} = 2\hat{j} - \hat{k} $.**Answer:**Magnetic force on a moving charge is defined by the Lorentz force equation: $ \mathbf{F} = q_0 (\mathbf{v} \times \mathbf{B}) $, where $ \mathbf{F} $ is the magnetic force, $ q_0 $ is the charge, $ \mathbf{v} $ is the velocity of the charge, and $ \mathbf{B} $ is the magnetic field. The right-hand rule helps to determine the direction of the magnetic force: point your thumb in the direction of the velocity $ \mathbf{v} $ of the positive charge, your fingers in the direction of the magnetic field $ \mathbf{B} $, and the force $ \mathbf{F} $ comes out of your palm.Given:- Magnetic field $ \mathbf{B} $ in the $ +\hat{i} $ direction: $ \mathbf{B} = \hat{i} $- Velocity $ \mathbf{v} = 2\hat{j} - \hat{k} $Using the cross product for the direction of the force:\[ \mathbf{F} = q_0 \left( (2\hat{j}) \times (\hat{i}) + (-\hat{k}) \times (\hat{i}) \right) \]Calculate each cross product:\[ \hat{j} \times \hat{i} = -\hat{k} \]\[ -\hat{k} \times \hat{i} = -\hat{j} \]So,\[ \mathbf{F} = q_0 (2(-\hat{k}) + (-\hat{j})) \]\[ \mathbf{F} = -2q_0 \hat{k} - q_0 \hat{j} \]Thus, the magnetic force $ \mathbf{F} $ is in the direction \(-2\hat{k} - \

Magnetic force is a consequence of electromagnetic force and is caused due to the motion of charges.…

n a few sentences, describe how magnetic force is defined. We've lear it the right hand rule in class. Determine the direction of force for a cha oving in a uniform magnetic field in the positive +î direction with velo

n a few sentences, describe how magnetic force is defined. We've lear it the right hand rule in class. Determine the direction of force for a cha oving in a uniform magnetic field in the positive +î direction with velo

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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Answer it correctly please. I will rate accordingly with 4votes.