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In the figure particle 1 of charge +q and particle 2 of charge +9q are held at separation L = 10.9 cm on anx axis. If particle 3 of charge 93 is to be located such that the three particles remain in place when released, what must be the (a) x and (b) y coordinates of particle 3 and (c) the ratio q3/q?

In the figure particle 1 of charge +q and particle 2 of charge +9q are held at separation L = 10.9 cm on anx axis. If particle 3 of charge 93 is to be located such that the three particles remain in place when released, what must be the (a) x and (b) y coordinates of particle 3 and (c) the ratio q3/q?

College Physics
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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**Physics Problem: Equilibrium of Charged Particles** **Problem Statement:** In the figure, particle 1 of charge \(+q\) and particle 2 of charge \(+9q\) are held at a separation \(L = 10.9 \, \text{cm}\) on an x-axis. If particle 3 of charge \(q_3\) is to be located such that the three particles remain in place when released, what must be the (a) x and (b) y coordinates of particle 3 and (c) the ratio \(q_3/q\)? **Figure Explanation:** The provided figure is a simple diagram showing a horizontal x-axis with two particles labeled as 1 and 2. - Particle 1 is positioned at the origin \((0, 0)\) on the x-axis. - Particle 2 is positioned at a distance \(L\) from Particle 1 along the positive direction of the x-axis. The distance \(L\) between Particle 1 and Particle 2 is given as \(10.9 \, \text{cm}\). **Objective:** To find the position (coordinates) and charge ratio for a third particle, \(q_3\), such that the system is in equilibrium. **Steps to Solve:** 1. Identify the forces acting on each particle due to the other charged particles. 2. Use the principle of equilibrium where net force on each particle must be zero. 3. For the system to remain in equilibrium, the y-coordinates for the particles must be zero (they must lie on the x-axis if no vertical forces are considered). 4. Derive expressions for the x-coordinates and charge ratio based on Coulomb's Law. Illustrative diagrams or further detailed steps and calculations would typically accompany this problem on an educational website.
Transcribed Image Text:**Physics Problem: Equilibrium of Charged Particles** **Problem Statement:** In the figure, particle 1 of charge \(+q\) and particle 2 of charge \(+9q\) are held at a separation \(L = 10.9 \, \text{cm}\) on an x-axis. If particle 3 of charge \(q_3\) is to be located such that the three particles remain in place when released, what must be the (a) x and (b) y coordinates of particle 3 and (c) the ratio \(q_3/q\)? **Figure Explanation:** The provided figure is a simple diagram showing a horizontal x-axis with two particles labeled as 1 and 2. - Particle 1 is positioned at the origin \((0, 0)\) on the x-axis. - Particle 2 is positioned at a distance \(L\) from Particle 1 along the positive direction of the x-axis. The distance \(L\) between Particle 1 and Particle 2 is given as \(10.9 \, \text{cm}\). **Objective:** To find the position (coordinates) and charge ratio for a third particle, \(q_3\), such that the system is in equilibrium. **Steps to Solve:** 1. Identify the forces acting on each particle due to the other charged particles. 2. Use the principle of equilibrium where net force on each particle must be zero. 3. For the system to remain in equilibrium, the y-coordinates for the particles must be zero (they must lie on the x-axis if no vertical forces are considered). 4. Derive expressions for the x-coordinates and charge ratio based on Coulomb's Law. Illustrative diagrams or further detailed steps and calculations would typically accompany this problem on an educational website.
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