The figure below shows four small beads, each with a positive charge, at the corners of a square. The length of each side of the square is a. The bead at top-right has a charge of 4; the charge of 5.5q; the other two each have a charge of 5.5q. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) a 5.5g a 5.5g 5.59 a (a) What is the magnitude of the force on the bead with charge q? Express your answer in terms of k 9, and a in symbolic form. F= 10,5 What is the magnitude of the force due to each charge? (Be careful with distances.) What is the direction of each force? Using trigonometry, can you find the x- and y-components of each force? After fin the x- and y-components of the net force, how can you use them to find the magnitude of the net force? (b) What is the direction of the force on the bead with charge q? (Enter your answer in degrees counterclockwise from the +x-axis.) 45 ° counterclockwise from the +x-axis

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)...
icon
Related questions
Question
**Educational Content on Electric Forces**

The diagram depicts four small beads placed at the corners of a square, each with a positive charge. The side length of the square is denoted as \( a \). The bead at the top-right corner carries a charge of \( q \), while the bead at the lower-left carries a charge of \( 5.5q \). The remaining two beads each have a charge of \( 5.5q \). For the purpose of analysis, the positive x-axis extends to the right, and the positive y-axis extends upward along the page.

**Graph Description:**
- A square is with sides labeled \( a \).
- Four beads are located at each corner.
- Top-right corner bead: charge \( q \).
- Lower-left corner bead: charge \( 5.5q \).
- Remaining corner beads: charge \( 5.5q \).

**Questions and Analysis:**

### (a) Calculate the Magnitude of the Force on the Bead with Charge \( q \)

- **Objective:** Express the force magnitude in terms of \( k_e \), \( q \), and \( a \) using symbolic notation.
  
- **Result:** \( F = 10.5 \) (unit not specified).

- **Instructions:** 
  - Carefully evaluate the force magnitude created by each charged bead.
  - Determine the directional component of each force using trigonometry.
  - Calculate the net force's x- and y-components; combine them to ascertain the overall force magnitude.

### (b) Determine the Force Direction on the Bead with Charge \( q \)

- **Direction:** 45 degrees counterclockwise from the +x-axis.

This exercise demonstrates the application of Coulomb's Law to compute forces between charged particles arranged in a square configuration, including both magnitude and direction components.
Transcribed Image Text:**Educational Content on Electric Forces** The diagram depicts four small beads placed at the corners of a square, each with a positive charge. The side length of the square is denoted as \( a \). The bead at the top-right corner carries a charge of \( q \), while the bead at the lower-left carries a charge of \( 5.5q \). The remaining two beads each have a charge of \( 5.5q \). For the purpose of analysis, the positive x-axis extends to the right, and the positive y-axis extends upward along the page. **Graph Description:** - A square is with sides labeled \( a \). - Four beads are located at each corner. - Top-right corner bead: charge \( q \). - Lower-left corner bead: charge \( 5.5q \). - Remaining corner beads: charge \( 5.5q \). **Questions and Analysis:** ### (a) Calculate the Magnitude of the Force on the Bead with Charge \( q \) - **Objective:** Express the force magnitude in terms of \( k_e \), \( q \), and \( a \) using symbolic notation. - **Result:** \( F = 10.5 \) (unit not specified). - **Instructions:** - Carefully evaluate the force magnitude created by each charged bead. - Determine the directional component of each force using trigonometry. - Calculate the net force's x- and y-components; combine them to ascertain the overall force magnitude. ### (b) Determine the Force Direction on the Bead with Charge \( q \) - **Direction:** 45 degrees counterclockwise from the +x-axis. This exercise demonstrates the application of Coulomb's Law to compute forces between charged particles arranged in a square configuration, including both magnitude and direction components.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
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…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON