What is the net force on -10µC point charge? -10 μC I 24 cm 7 cm -30 μC 488 N O 613 N O 554 N 24 N 041N 25 cm 40 μC

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 62P
icon
Related questions
Question
**Net Force Calculation on a Point Charge**

**Problem Statement:**
What is the net force on the \(-10 \mu C\) point charge?

**Diagram Explanation:**
The diagram illustrates a system of three point charges and their relative distances:
- There are three charges labeled as \(-10 \mu C\), \(-30 \mu C\), and \(40 \mu C\).
- The \(-10 \mu C\) charge is positioned 7 cm away from the \(-30 \mu C\) charge, 24 cm away from the \(40 \mu C\) charge, and 25 cm away from the \(-30 \mu C\) charge.
- The charges are positioned in such a way that they form a right triangle.

**Options Provided:**
1. 488 N
2. 613 N
3. 554 N
4. 24 N
5. 41 N

The numerical values will further help in calculating the net force using Coulomb's Law.

**Concept Explanation:**
To find the net force on the \(-10 \mu C\) charge, we use Coulomb’s Law, which states that the magnitude of the force \( F \) between two point charges is:

\[ F = k_e \frac{|q_1 q_2|}{r^2} \]

Where:
- \( k_e \) is Coulomb's constant (\( 8.99 \times 10^9 \, Nm^2/C^2 \))
- \( q_1 \) and \( q_2 \) are the magnitudes of the charges
- \( r \) is the distance between the charges

The net force is the vector sum of forces exerted on the \(-10 \mu C\) charge by the other two charges. This involves calculating each force individually and then combining them using vector addition principles.

**Answer Choices Analysis:**
Given the options, we would typically solve the problem step-by-step as outlined, making use of given measurements and fundamental principles of electrostatics.

**Interactive Element:**
To enhance learning, students might be prompted to attempt the detailed calculations and conceptual understanding to arrive at one of the provided answers.
Transcribed Image Text:**Net Force Calculation on a Point Charge** **Problem Statement:** What is the net force on the \(-10 \mu C\) point charge? **Diagram Explanation:** The diagram illustrates a system of three point charges and their relative distances: - There are three charges labeled as \(-10 \mu C\), \(-30 \mu C\), and \(40 \mu C\). - The \(-10 \mu C\) charge is positioned 7 cm away from the \(-30 \mu C\) charge, 24 cm away from the \(40 \mu C\) charge, and 25 cm away from the \(-30 \mu C\) charge. - The charges are positioned in such a way that they form a right triangle. **Options Provided:** 1. 488 N 2. 613 N 3. 554 N 4. 24 N 5. 41 N The numerical values will further help in calculating the net force using Coulomb's Law. **Concept Explanation:** To find the net force on the \(-10 \mu C\) charge, we use Coulomb’s Law, which states that the magnitude of the force \( F \) between two point charges is: \[ F = k_e \frac{|q_1 q_2|}{r^2} \] Where: - \( k_e \) is Coulomb's constant (\( 8.99 \times 10^9 \, Nm^2/C^2 \)) - \( q_1 \) and \( q_2 \) are the magnitudes of the charges - \( r \) is the distance between the charges The net force is the vector sum of forces exerted on the \(-10 \mu C\) charge by the other two charges. This involves calculating each force individually and then combining them using vector addition principles. **Answer Choices Analysis:** Given the options, we would typically solve the problem step-by-step as outlined, making use of given measurements and fundamental principles of electrostatics. **Interactive Element:** To enhance learning, students might be prompted to attempt the detailed calculations and conceptual understanding to arrive at one of the provided answers.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Electric field
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
University Physics Volume 2
University Physics Volume 2
Physics
ISBN:
9781938168161
Author:
OpenStax
Publisher:
OpenStax
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning