Simple Discrete Charge System. Find the total energy to assemble the neutral four-charge system shown at the right assuming an identical bond length a between the pairs of positive and negative ions. What bond angle minimizes the energy in the system?
Simple Discrete Charge System. Find the total energy to assemble the neutral four-charge system shown at the right assuming an identical bond length a between the pairs of positive and negative ions. What bond angle minimizes the energy in the system?
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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![**Simple Discrete Charge System:**
Find the total energy to assemble the neutral four-charge system shown on the right, assuming an identical bond length \( a \) between the pairs of positive and negative ions. What bond angle \( \zeta \) minimizes the energy in the system?
**Diagram Explanation:**
The diagram illustrates a quadrilateral configuration composed of four charges. There are two positive charges, labeled \( +q \), and two negative charges, labeled \( -q \). Each charge pair (\(+q, -q\)) is connected by a line representing the bond length \( a \). The configuration suggests a symmetrical arrangement with a bond angle \( \zeta \) between the lines connecting the opposite charges. This arrangement is neutral as the charges appear to cancel out. The challenge presented is to calculate the total energy required to assemble this configuration and determine the bond angle \( \zeta \) that minimizes this energy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F584ffa08-94ad-4eb4-a87d-fd258db9f802%2F9ef05177-63b8-4f39-8372-6e8508566421%2Fog4hfjq_processed.png&w=3840&q=75)
Transcribed Image Text:**Simple Discrete Charge System:**
Find the total energy to assemble the neutral four-charge system shown on the right, assuming an identical bond length \( a \) between the pairs of positive and negative ions. What bond angle \( \zeta \) minimizes the energy in the system?
**Diagram Explanation:**
The diagram illustrates a quadrilateral configuration composed of four charges. There are two positive charges, labeled \( +q \), and two negative charges, labeled \( -q \). Each charge pair (\(+q, -q\)) is connected by a line representing the bond length \( a \). The configuration suggests a symmetrical arrangement with a bond angle \( \zeta \) between the lines connecting the opposite charges. This arrangement is neutral as the charges appear to cancel out. The challenge presented is to calculate the total energy required to assemble this configuration and determine the bond angle \( \zeta \) that minimizes this energy.
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