Class 12 Exam > Class 12 Questions > Four identical charges (q = 50 uC) are place...
Start Learning for Free
Four identical charges (q = 50 uC) are placed at the four corners of a rectangle. The measurement of the rectangle is 50 x 10-2 m x 75 x 10-2 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to the rest.?
Most Upvoted Answer
Four identical charges (q = 50 uC) are placed at the four corners of ...
Problem: Find the magnitude and direction of the resultant force acting on any one of the charges due to the rest when four identical charges are placed at the four corners of a rectangle.
Given:
- Four identical charges (q = 50 uC)
- The rectangle's measurement is 50 x 10-2 m x 75 x 10-2 m
Solution:
To find the magnitude and direction of the resultant force acting on any one of the charges due to the rest, we need to follow these steps:
Step 1: Calculate the distance between each charge and the charge we want to find the resultant force on.
- The distance between the charges on the adjacent corner is d1 = sqrt((0.5 m)^2 + (0.75 m)^2) = 0.895 m
- The distance between the charges on the opposite corner is d2 = sqrt((0.75 m)^2 + (0.5 m)^2) = 0.895 m
Step 2: Calculate the electric force between the charges using Coulomb's law.
- The electric force between the charges on the adjacent corner is F1 = (9 x 10^9 Nm^2/C^2) * ((50 uC)^2) / (0.895 m)^2 = 1.65 N
- The electric force between the charges on the opposite corner is F2 = (9 x 10^9 Nm^2/C^2) * ((50 uC)^2) / (0.895 m)^2 = 1.65 N
Step 3: Calculate the horizontal and vertical components of the force acting on the charge we want to find the resultant force on.
- The horizontal component of the force is Fhor = 2F1 = 3.30 N
- The vertical component of the force is Fver = 2F2 = 3.30 N
Step 4: Calculate the magnitude and direction of the resultant force.
- The magnitude of the resultant force is Fres = sqrt((Fhor)^2 + (Fver)^2) = 4.67 N
- The direction of the resultant force is theta = tan^-1(Fver / Fhor) = 45 degrees
Answer: The magnitude of the resultant force acting on any one of the charges due to the rest is 4.67 N, and the direction is 45 degrees.
Given:
- Four identical charges (q = 50 uC)
- The rectangle's measurement is 50 x 10-2 m x 75 x 10-2 m
Solution:
To find the magnitude and direction of the resultant force acting on any one of the charges due to the rest, we need to follow these steps:
Step 1: Calculate the distance between each charge and the charge we want to find the resultant force on.
- The distance between the charges on the adjacent corner is d1 = sqrt((0.5 m)^2 + (0.75 m)^2) = 0.895 m
- The distance between the charges on the opposite corner is d2 = sqrt((0.75 m)^2 + (0.5 m)^2) = 0.895 m
Step 2: Calculate the electric force between the charges using Coulomb's law.
- The electric force between the charges on the adjacent corner is F1 = (9 x 10^9 Nm^2/C^2) * ((50 uC)^2) / (0.895 m)^2 = 1.65 N
- The electric force between the charges on the opposite corner is F2 = (9 x 10^9 Nm^2/C^2) * ((50 uC)^2) / (0.895 m)^2 = 1.65 N
Step 3: Calculate the horizontal and vertical components of the force acting on the charge we want to find the resultant force on.
- The horizontal component of the force is Fhor = 2F1 = 3.30 N
- The vertical component of the force is Fver = 2F2 = 3.30 N
Step 4: Calculate the magnitude and direction of the resultant force.
- The magnitude of the resultant force is Fres = sqrt((Fhor)^2 + (Fver)^2) = 4.67 N
- The direction of the resultant force is theta = tan^-1(Fver / Fhor) = 45 degrees
Answer: The magnitude of the resultant force acting on any one of the charges due to the rest is 4.67 N, and the direction is 45 degrees.
|
Explore Courses for Class 12 exam
|
|
Similar Class 12 Doubts
Four identical charges (q = 50 uC) are placed at the four corners of a rectangle. The measurement of the rectangle is 50 x 10-2 m x 75 x 10-2 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to the rest.?
Question Description
Four identical charges (q = 50 uC) are placed at the four corners of a rectangle. The measurement of the rectangle is 50 x 10-2 m x 75 x 10-2 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to the rest.? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Four identical charges (q = 50 uC) are placed at the four corners of a rectangle. The measurement of the rectangle is 50 x 10-2 m x 75 x 10-2 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to the rest.? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four identical charges (q = 50 uC) are placed at the four corners of a rectangle. The measurement of the rectangle is 50 x 10-2 m x 75 x 10-2 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to the rest.?.
Four identical charges (q = 50 uC) are placed at the four corners of a rectangle. The measurement of the rectangle is 50 x 10-2 m x 75 x 10-2 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to the rest.? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Four identical charges (q = 50 uC) are placed at the four corners of a rectangle. The measurement of the rectangle is 50 x 10-2 m x 75 x 10-2 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to the rest.? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four identical charges (q = 50 uC) are placed at the four corners of a rectangle. The measurement of the rectangle is 50 x 10-2 m x 75 x 10-2 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to the rest.?.
Solutions for Four identical charges (q = 50 uC) are placed at the four corners of a rectangle. The measurement of the rectangle is 50 x 10-2 m x 75 x 10-2 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to the rest.? in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of Four identical charges (q = 50 uC) are placed at the four corners of a rectangle. The measurement of the rectangle is 50 x 10-2 m x 75 x 10-2 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to the rest.? defined & explained in the simplest way possible. Besides giving the explanation of
Four identical charges (q = 50 uC) are placed at the four corners of a rectangle. The measurement of the rectangle is 50 x 10-2 m x 75 x 10-2 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to the rest.?, a detailed solution for Four identical charges (q = 50 uC) are placed at the four corners of a rectangle. The measurement of the rectangle is 50 x 10-2 m x 75 x 10-2 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to the rest.? has been provided alongside types of Four identical charges (q = 50 uC) are placed at the four corners of a rectangle. The measurement of the rectangle is 50 x 10-2 m x 75 x 10-2 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to the rest.? theory, EduRev gives you an
ample number of questions to practice Four identical charges (q = 50 uC) are placed at the four corners of a rectangle. The measurement of the rectangle is 50 x 10-2 m x 75 x 10-2 m. Find the magnitude and direction of the resultant force acting on any one of the charges due to the rest.? tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup