### Electrostatics Problem: Work Required for Four-Charge Configuration**Problem Statement:**How much work is required to set up the four-charge configuration of the figure if \( q = 6.60 \) pC, \( a = 79.9 \) cm, and the particles are initially infinitely far apart and at rest?**Options:**(a) \(-1.27 \times 10^{-12} \, \text{J}\) (b) \(-2.25 \times 10^{-12} \, \text{J}\) (c) \(-2.75 \times 10^{-12} \, \text{J}\) (d) \(-1.60 \times 10^{-12} \, \text{J}\) (e) None of the above **Diagram Explanation:**The figure depicts a square configuration with side length \(a\), where each vertex holds a point charge: - Top-left corner: \(+q\)- Top-right corner: \(-q\)- Bottom-right corner: \(+q\)- Bottom-left corner: \(-q\)The charges are placed such that opposite corners have the same charges. The distance between each adjacent pair of charges is \(a\).To calculate the work required to assemble this configuration:1. **Work to Bring First Charge:** Zero, since there is no electric field initially.2. **Work to Bring Second Charge:** \[ \frac{kq^2}{a} \]3. **Work to Bring Third Charge:** \[ -\frac{kq^2}{a} + \frac{kq^2}{\sqrt{2a}} \]4. **Work to Bring Fourth Charge:** \[ \frac{kq^2}{a} - \frac{kq^2}{a} + \frac{kq^2}{a} + \frac{kq^2}{\sqrt{2a}} \]Summing up all these values should give us the total work needed to arrange these charges. Calculate and then choose the appropriate option from the given choices.

Draw the energy diagram of the system.

How much work is required to set up the four-charge configuration of the figure if q = 6.60 pC, a = 79.9 cm, and the particles are initially infinitely far apart and at rest? %3D +q -4 +q (a) -1.27x10-12 J (b) -2.25x10-12 ] (c) -2.75x10-12 ] (d) -1.60x10-12 J (e) None of the above

How much work is required to set up the four-charge configuration of the figure if q = 6.60 pC, a = 79.9 cm, and the particles are initially infinitely far apart and at rest? %3D +q -4 +q (a) -1.27x10-12 J (b) -2.25x10-12 ] (c) -2.75x10-12 ] (d) -1.60x10-12 J (e) None of the above

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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