Sign Up

Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.

Have an account? Sign In

Have an account? Sign In Now

Sign In

Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.

Sign Up Here

Forgot Password?

Don't have account, Sign Up Here

Forgot Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

Have an account? Sign In Now

You must login to ask question.(5)

Forgot Password?

Need An Account, Sign Up Here

Please briefly explain why you feel this question should be reported.

Please briefly explain why you feel this answer should be reported.

Please briefly explain why you feel this user should be reported.

Sign InSign Up

ITtutoria

ITtutoria Logo ITtutoria Logo

ITtutoria Navigation

  • Python
  • Java
  • Reactjs
  • JavaScript
  • R
  • PySpark
  • MYSQL
  • Pandas
  • QA
  • C++
Ask A Question

Mobile menu

Close
Ask a Question
  • Home
  • Python
  • Science
  • Java
  • JavaScript
  • Reactjs
  • Nodejs
  • Tools
  • QA
Home/ Questions/Four identical charges Q are placed at the corners of a square of side L. 1.Find...
Next
Answered
tmntuto
  • 27
tmntuto
Asked: April 10, 20222022-04-10T08:39:29+00:00 2022-04-10T08:39:29+00:00In: Physics

Four identical charges Q are placed at the corners of a square of side L. 1.Find…

  • 27

. Advertisement .

..3..

......... ADVERTISEMENT .........

..8..


♦ Relevant knowledge

. Advertisement .

..4..

In physics, the term magnitude can be simply defined as ‘distance’. It indicates the dimension or direction of an object that’s absolute, or relative to the sense that an object is moving in the sense of motion. It’s used to define the dimensions or size of an item. 

chargemagnitudephysics
  • 1 1 Answer
  • 19 Views
  • 0 Followers
  • 0
Answer
Share
  • Facebook
  • Report

1 Answer

  • Voted
  • Oldest
  • Recent
  • Random
  1. Best Answer
    tonytutoria
    2022-04-10T09:00:47+00:00Added an answer on April 10, 2022 at 9:00 am
    Concepts and Reason

    This problem can be solved using the following concepts: electric force between two points charges, resolution in to rectangular components and net force on an object because of multiple forces acting simultaneously.

    In the beginning, you will call four identical point charges A, B,C, and D. The four charges should be placed at the corners of a square with side length L in a clockwise order. Later, convert the vector form of charges A, B, C and D into the electric force on charge B. These three forces on charge A can be added later in vector form. Due to the three additional charges, this force vector is known as net force vector on charge B. Calculate the force vector’s magnitude later.

    Fundamentals

    The electric force F for a charge [katex]{q_1}[/katex].

    [katex]F = \frac{{k{q_1}{q_2}}}{{{r^2}}}[/katex]

    k refers to the constant of Coulomb and r the distance between them.

    The net electric force [katex]{\vec F_{{\rm{net,B}}}}[/katex] is derived from the superposition principle.

    [katex]{\vec F_{{\rm{net,B}}}} = {\vec F_{\rm{A}}} + {\vec F_{\rm{C}}} + {\vec F_{\rm{D}}}[/katex]

    According to the Pythagoras Theorem, the squared hypotenuse of a right-angle triangle is equal to the sum squares of each side.

    Magnitude of [katex]\vec s = {s_x}\hat i + {s_y}\hat j[/katex] two-dimensional vector

    [katex]\left| {\vec s} \right| = \sqrt {s_x^2 + s_y^2} [/katex]

    Below is the arrangement of four charged at the corners of a square, and the direction of the electric forces acting upon a charge due the other three charges.

    Substitute Q to [katex]{q_1}[/katex]

    [katex]\begin{array}{c}\\{F_{\rm{A}}} = \frac{{k\left( Q \right)\left( Q \right)}}{{{L^2}}}\\\\ = \frac{{k{Q^2}}}{{{L^2}}}\\\end{array}[/katex]

    The vector form for the force on charge B due charge A is

    [katex]F = \frac{{k{q_1}{q_2}}}{{{r^2}}}[/katex]

    Substitute Q to [katex]{q_1}[/katex]

    [katex]F = \frac{{k{q_1}{q_2}}}{{{r^2}}}[/katex]

    The vector form for the force on charge A due to charge C, is

    [katex]F = \frac{{k{q_1}{q_2}}}{{{r^2}}}[/katex]

    Substitute Q to [katex]{q_1}[/katex]

    [katex]F = \frac{{k{q_1}{q_2}}}{{{r^2}}}[/katex]

    The vector form for the force on charge B due charge D is

    [katex]F = \frac{{k{q_1}{q_2}}}{{{r^2}}}[/katex]

    Substitute [katex]F = \frac{{k{q_1}{q_2}}}{{{r^2}}}[/katex]

    [katex]F = \frac{{k{q_1}{q_2}}}{{{r^2}}}[/katex]

    The vector [katex]{\vec F_{{\rm{net,B}}}}[/katex] magnitude

    [katex]{\vec F_{{\rm{net,B}}}}[/katex]

    Ans:

    The [katex]{\vec F_{{\rm{net,B}}}}[/katex]1 is the magnitude of the net force that acts on a charge when three identical charges are placed at each corner of a square.

    • 12
    • Reply
    • Share
      Share
      • Share on Facebook
      • Share on Twitter
      • Share on LinkedIn
      • Share on WhatsApp
      • Report

Leave an answer
Cancel reply

You must login to add an answer.

Forgot Password?

Need An Account, Sign Up Here

Sidebar

Ask A Question
  • How to Split String by space in C++
  • How To Convert A Pandas DataFrame Column To A List
  • How to Replace Multiple Characters in A String in Python?
  • How To Remove Special Characters From String Python

Explore

  • Home
  • Tutorial

Footer

ITtutoria

ITtutoria

This website is user friendly and will facilitate transferring knowledge. It would be useful for a self-initiated learning process.

@ ITTutoria Co Ltd.

Tutorial

  • Home
  • Python
  • Science
  • Java
  • JavaScript
  • Reactjs
  • Nodejs
  • Tools
  • QA

Legal Stuff

  • About Us
  • Terms of Use
  • Privacy Policy
  • Contact Us

DMCA.com Protection Status

Help

  • Knowledge Base
  • Support

Follow

© 2022 Ittutoria. All Rights Reserved.

Insert/edit link

Enter the destination URL

Or link to existing content

    No search term specified. Showing recent items. Search or use up and down arrow keys to select an item.