**Electrostatic Force Calculation**1. **Calculate the net electrostatic force acting on $ q_1 $ due to the other charges.**This problem requires determining the resultant force on a charge $ q_1 $ from surrounding charges. The electrostatic force is calculated using Coulomb's Law:\[F = k \frac{|q_1 q_2|}{r^2}\]Where:- $ F $ is the magnitude of the force between the charges.- $ k $ is Coulomb's constant ($ 8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2 $).- $ q_1 $ and $ q_2 $ are the magnitudes of the charges.- $ r $ is the distance between the charges.2. **Calculate the net electrostatic force acting on $ q_1 $ if all positive charges ($ q_3 $ and $ q_6 $) are removed.**In this scenario, the task is to find the force on $ q_1 $ only considering the remaining charges, excluding the contributions from the positive charges $ q_3 $ and $ q_6 $. This simplifies the problem by reducing the number of interactions to consider. **Description of the Figure with Charged Particles**The figure illustrates an arrangement of six fixed charged particles in a 2D plane. The description, along with the values and arrangement of charges, is as follows:- **Parameters Defined:** - The distance between particles is defined as $ a = 2.5 \, \text{cm} $. - The angle made by certain particles with the horizontal axis is $ \Theta = 30.0^\circ $.- **Properties:** - All six particles have the same magnitude of charge, $ q = 4.5 \times 10^{16} \, \text{C} $.- **Arrangement and Electrical Signs:** - The particles are labeled $ q_1 $ through $ q_6 $. - The central particle is $ q_1 $, located at the origin of the axes. - Particles $ q_2 $ and $ q_4 $ are positioned horizontally along the x-axis to the left and right of $ q_1 $, respectively. - Particles $ q_3 $ and $ q_5 $ are above $ q_1 $, aligned at an angle $ \Theta = 30.0^\circ $ to the horizontal axis. - Particles $ q_6 $ is on the x-axis to the right of $ q_1 $.- **Diagram Explanation:** - The diagram shows $ q_1 $ at the center, with lines indicating the relative positions of the other charges. - Dashed lines indicate the angles formed with respect to the horizontal axis.This arrangement is useful for studying electric forces and potential energy between point charges in electrostatic scenarios.

Answered: Image /qna-images/answer/33f42f78-4886-4e83-adb7-b37766a8ce6a.jpg

The figure below shows an arrangement of six fixed charged particles, where a = 2.5 cm and 0 = 30.0°. All six particles have the same magnitude of charge, q= 4.5 x 10¹6 C; their electrical signs are as indicated.

The figure below shows an arrangement of six fixed charged particles, where a = 2.5 cm and 0 = 30.0°. All six particles have the same magnitude of charge, q= 4.5 x 10¹6 C; their electrical signs are as indicated.

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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