**Title: Electric Potential Calculation for Point Charges****Introduction:**The figure below illustrates a scenario involving two point charges. These charges are separated by a distance, and we are interested in finding the electric potential at specific points in relation to these charges.**Description of the Figure:**- The figure is an equilateral triangle with three points: \(A\), \(B\), and the points where the charges are located (\(q_1\) and \(q_2\)).- The side length of the triangle is denoted as \(d = 4.00 \, \text{cm}\).- The angle at point \(B\) is \(60.0^\circ\).- Charge \(q_1 = -20.0 \, \text{nC}\) is located on the left.- Charge \(q_2 = 25.0 \, \text{nC}\) is located on the right.- Point \(A\) is at the top vertex of the triangle.**Objective:**(a) **Find the electric potential at point \(A\):**- Your response was more than 100% different from the correct answer, suggesting a major calculation error.(b) **Find the electric potential at point \(B\),** which is situated halfway between the charges on the horizontal side of the triangle.**Explanation of Graphs or Diagrams:**- The diagram includes vectors indicating the direction from each charge to point \(A\) and \(B\).- It shows the geometric relationship between the charges and points of interest within the triangle. **Steps for Calculation:**1. **Calculate the Electric Potential at Point \(A\):** - Use the formula for electric potential due to a point charge \( V = \frac{k \cdot q}{r} \), where \( k \) is Coulomb's constant, \( q \) is the charge, and \( r \) is the distance from the point of interest to the charge. - Consider contributions from both \( q_1 \) and \( q_2 \).2. **Calculate the Electric Potential at Point \(B\):** - Follow the same formula, remembering to account for the distances from \( B \) to each charge \( q_1 \) and \( q_2 \).This problem provides a practical application of the principles of electric potential and the effects of charge distribution in electro

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The two charges in the figure below are separated by d = 4.00 cm. (Let q, = -20.0 nC and q, = 25.0 nC.) A d d 60.0° В d 92 (a) Find the electric potential at point A. Your response differs from the correct answer by more than 100%. kV (b) Find the electric potential at point B, which is halfway between the charges. kV

The two charges in the figure below are separated by d = 4.00 cm. (Let q, = -20.0 nC and q, = 25.0 nC.) A d d 60.0° В d 92 (a) Find the electric potential at point A. Your response differs from the correct answer by more than 100%. kV (b) Find the electric potential at point B, which is halfway between the charges. kV

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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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

**Title: Electric Potential Calculation for Point Charges**

**Introduction:**

The figure below illustrates a scenario involving two point charges. These charges are separated by a distance, and we are interested in finding the electric potential at specific points in relation to these charges.

**Description of the Figure:**

- The figure is an equilateral triangle with three points: \(A\), \(B\), and the points where the charges are located (\(q_1\) and \(q_2\)).
- The side length of the triangle is denoted as \(d = 4.00 \, \text{cm}\).
- The angle at point \(B\) is \(60.0^\circ\).
- Charge \(q_1 = -20.0 \, \text{nC}\) is located on the left.
- Charge \(q_2 = 25.0 \, \text{nC}\) is located on the right.
- Point \(A\) is at the top vertex of the triangle.

**Objective:**

(a) **Find the electric potential at point \(A\):**

- Your response was more than 100% different from the correct answer, suggesting a major calculation error.

(b) **Find the electric potential at point \(B\),** which is situated halfway between the charges on the horizontal side of the triangle.

**Explanation of Graphs or Diagrams:**

- The diagram includes vectors indicating the direction from each charge to point \(A\) and \(B\).
- It shows the geometric relationship between the charges and points of interest within the triangle.

**Steps for Calculation:**

1. **Calculate the Electric Potential at Point \(A\):**
- Use the formula for electric potential due to a point charge \( V = \frac{k \cdot q}{r} \), where \( k \) is Coulomb's constant, \( q \) is the charge, and \( r \) is the distance from the point of interest to the charge.
- Consider contributions from both \( q_1 \) and \( q_2 \).

2. **Calculate the Electric Potential at Point \(B\):**
- Follow the same formula, remembering to account for the distances from \( B \) to each charge \( q_1 \) and \( q_2 \).

This problem provides a practical application of the principles of electric potential and the effects of charge distribution in electro

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