**Educational Content on Electric Fields and Potentials**In the provided diagram, we have three charges arranged strategically. Each charge has a magnitude of 1 Coulomb (C), with the signs specified in the illustration. Point X marks a location where no charge is present. Distances between the charges and Point X are clearly indicated for analysis.### Diagram Explanation- **Arrangement**: Two positive charges (+1 C) and one negative charge (-1 C) are positioned on the plane.- **Distances**: - A positive charge is 2 meters to the right of Point X. - The second positive charge is 2 meters below the first positive charge. - The negative charge is 2 meters to the right of the second positive charge and 4 meters to the right of Point X.### Questions and Explanations3) **The direction of the electric field at point X is in which quadrant?** - Consider the directions and interactions of electric fields due to each charge: - Positive charges repel, creating an electric field directed away from them. - The negative charge attracts, directing the field towards it. - Answer options: - a. Up and Right - b. Up and Left - c. Down and Left - d. Down and Right - e. It is Zero4) **The electric potential at Point X is closest to:** - Calculate the potential using \( V = k\frac{q}{r} \) for each charge, where \( k \) is Coulomb’s constant, \( q \) is the charge, and \( r \) is the distance. - Sum the potentials from each charge to find the net potential. - Answer options: - a. Zero - b. \(2.3 \times 10^9 \, \text{V}\) - c. \(3.9 \times 10^9 \, \text{V}\) - d. \(4.5 \times 10^9 \, \text{V}\) - e. \(5.4 \times 10^9 \, \text{V}\)This exercise demonstrates the concepts of electric fields and potentials in a system of point charges, allowing for practical understanding through calculation and vector analysis.

Three Charges are arranged as shown. All charges are shown. Point X is indicating a location where no charge is located. 3) The direction of the electric field at point X is in which quadrant? a. Up and Right b. Up and Left c. Down and Left d. e. It is Zero 4) The electric potential at Point X is closest to Down and Right

Three Charges are arranged as shown. All charges are shown. Point X is indicating a location where no charge is located. 3) The direction of the electric field at point X is in which quadrant? a. Up and Right b. Up and Left c. Down and Left d. e. It is Zero 4) The electric potential at Point X is closest to Down and Right

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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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

**Educational Content on Electric Fields and Potentials**

In the provided diagram, we have three charges arranged strategically. Each charge has a magnitude of 1 Coulomb (C), with the signs specified in the illustration. Point X marks a location where no charge is present. Distances between the charges and Point X are clearly indicated for analysis.

### Diagram Explanation
- **Arrangement**: Two positive charges (+1 C) and one negative charge (-1 C) are positioned on the plane.
- **Distances**:
- A positive charge is 2 meters to the right of Point X.
- The second positive charge is 2 meters below the first positive charge.
- The negative charge is 2 meters to the right of the second positive charge and 4 meters to the right of Point X.

### Questions and Explanations

3) **The direction of the electric field at point X is in which quadrant?**
- Consider the directions and interactions of electric fields due to each charge:
- Positive charges repel, creating an electric field directed away from them.
- The negative charge attracts, directing the field towards it.
- Answer options:
- a. Up and Right
- b. Up and Left
- c. Down and Left
- d. Down and Right
- e. It is Zero

4) **The electric potential at Point X is closest to:**
- Calculate the potential using \( V = k\frac{q}{r} \) for each charge, where \( k \) is Coulomb’s constant, \( q \) is the charge, and \( r \) is the distance.
- Sum the potentials from each charge to find the net potential.
- Answer options:
- a. Zero
- b. \(2.3 \times 10^9 \, \text{V}\)
- c. \(3.9 \times 10^9 \, \text{V}\)
- d. \(4.5 \times 10^9 \, \text{V}\)
- e. \(5.4 \times 10^9 \, \text{V}\)

This exercise demonstrates the concepts of electric fields and potentials in a system of point charges, allowing for practical understanding through calculation and vector analysis.

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