The three charges in the figure below are at the vertices of an isosceles triangle. Let q = 3.50 nC and calculate the electric potential at the midpoint of the base. (Let d₁ = 2.50 cm and d₂ = 6.50 cm.) kV
The three charges in the figure below are at the vertices of an isosceles triangle. Let q = 3.50 nC and calculate the electric potential at the midpoint of the base. (Let d₁ = 2.50 cm and d₂ = 6.50 cm.) kV
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)...
Related questions
Concept explainers
Dielectric Constant Of Water
Water constitutes about 70% of earth. Some important distinguishing properties of water are high molar concentration, small dissociation constant and high dielectric constant.
Electrostatic Potential and Capacitance
An electrostatic force is a force caused by stationary electric charges /fields. The electrostatic force is caused by the transfer of electrons in conducting materials. Coulomb’s law determines the amount of force between two stationary, charged particles. The electric force is the force which acts between two stationary charges. It is also called Coulomb force.
Question
100%
![### Electric Potential at the Midpoint of an Isosceles Triangle
#### Problem Statement:
The three charges in the figure below are at the vertices of an isosceles triangle. Let \( q = 3.50 \text{ nC} \) and calculate the electric potential at the midpoint of the base. (Let \( d_1 = 2.50 \text{ cm} \) and \( d_2 = 6.50 \text{ cm} \)).
#### Given:
- Charge \( q = 3.50 \text{ nC} \)
- Distance \( d_1 = 2.50 \text{ cm} \)
- Distance \( d_2 = 6.50 \text{ cm} \)
#### Diagram Explanation:
The diagram depicts an isosceles triangle with three charges located at its vertices:
- \( +q \) at the top vertex.
- \( -q \) at the left base vertex.
- \( -q \) at the right base vertex.
The distances mentioned:
- \( d_1 \), which is 2.50 cm, is the horizontal distance between the two negative charges at the base.
- \( d_2 \), which is 6.50 cm, is the equal distance from the positive charge to each of the negative charges at the base.
#### Task:
Calculate the electric potential at the midpoint of the base of the triangle.
<div>
<img src="image_url_here.jpg" alt="Isosceles triangle with charges" style="width:40%;"/>
<p>Representation of the isosceles triangle with charges \( \pm q \) and distances \( d_1 \) and \( d_2 \).</p>
</div>
### Electric Potential Calculation:
1. The electric potential \(V\) due to a point charge \(q\) at a distance \(r\) is given by:
\[ V = \frac{kq}{r} \]
where \( k \) is Coulomb's constant (\( k \approx 8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2 \)).
2. Contributions from each charge to the potential at the midpoint \(M\) of the base:
- The midpoint of the base is equidistant from the two negative charges.
- Distance from midpoint to each negative](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6bf878e8-f234-4f66-a1d2-75bcef7aa11d%2Ffeafbea8-3d8e-4353-b059-98d597ca8475%2Fogn85wd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Electric Potential at the Midpoint of an Isosceles Triangle
#### Problem Statement:
The three charges in the figure below are at the vertices of an isosceles triangle. Let \( q = 3.50 \text{ nC} \) and calculate the electric potential at the midpoint of the base. (Let \( d_1 = 2.50 \text{ cm} \) and \( d_2 = 6.50 \text{ cm} \)).
#### Given:
- Charge \( q = 3.50 \text{ nC} \)
- Distance \( d_1 = 2.50 \text{ cm} \)
- Distance \( d_2 = 6.50 \text{ cm} \)
#### Diagram Explanation:
The diagram depicts an isosceles triangle with three charges located at its vertices:
- \( +q \) at the top vertex.
- \( -q \) at the left base vertex.
- \( -q \) at the right base vertex.
The distances mentioned:
- \( d_1 \), which is 2.50 cm, is the horizontal distance between the two negative charges at the base.
- \( d_2 \), which is 6.50 cm, is the equal distance from the positive charge to each of the negative charges at the base.
#### Task:
Calculate the electric potential at the midpoint of the base of the triangle.
<div>
<img src="image_url_here.jpg" alt="Isosceles triangle with charges" style="width:40%;"/>
<p>Representation of the isosceles triangle with charges \( \pm q \) and distances \( d_1 \) and \( d_2 \).</p>
</div>
### Electric Potential Calculation:
1. The electric potential \(V\) due to a point charge \(q\) at a distance \(r\) is given by:
\[ V = \frac{kq}{r} \]
where \( k \) is Coulomb's constant (\( k \approx 8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2 \)).
2. Contributions from each charge to the potential at the midpoint \(M\) of the base:
- The midpoint of the base is equidistant from the two negative charges.
- Distance from midpoint to each negative
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON