Question

Using the three point charges of Example $16.3,$ find the magnitude of the force on $q_{2}$ due to the other two charges, $q_{1}$ and $q_{3}$ [Hint: After finding the force on $q_{2}$ due to $q_{1},$ separate that force into $x$ - and $y$ -components.]

Name: Problem 23, Chapter 16: Physics
Uploaded: 2020-05-24T07:07:58-08:00
Duration: 6 min 1 s
Channel: Zulfiqar Ali
Description: Using the three point charges of Example 16.3, find the magnitude of the force on q2 due to the other two charges, q1 and q3 [Hint: After finding the force on q2 due to q1, separate that force into x - and y -components.]

   Using the three point charges of Example $16.3,$ find the magnitude of the force on $q_{2}$ due to the other two charges, $q_{1}$ and $q_{3}$ [Hint: After finding the force on $q_{2}$ due to $q_{1},$ separate that force into $x$ - and $y$ -components.]

Physics

Alan Giambattista,… 2nd Edition

Chapter 16, Problem 23

Instant Answer

Solved by Expert Zulfiqar Ali

05/24/2020

Step 1

2 \mu C$, $-0.6 \mu C$, and $0.2 \mu C$ respectively. The charges form a right triangle with $q_{1}$ and $q_{3}$ at the base and $q_{2}$ at the vertex. The distances between the charges are given as $1.2 m$ (base), $0.5 m$ (height), and $1.3 m$ (hypotenuse). Show more…

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Using the three point charges of Example $16.3,$ find the magnitude of the force on $q_{2}$ due to the other two charges, $q_{1}$ and $q_{3}$ [Hint: After finding the force on $q_{2}$ due to $q_{1},$ separate that force into $x$ - and $y$ -components.]

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Key Concepts

Coulomb's Law

This law describes the force between two point charges. It states that the magnitude of the electrostatic force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. It is fundamental in calculating forces when dealing with point charges in an electric field.

Vector Decomposition

Vector decomposition involves breaking down a force into its perpendicular components, typically along the x- and y-axes. This technique allows for the analysis of forces in more than one dimension, making it easier to apply trigonometric methods to determine the resultant force.

Superposition Principle

The superposition principle states that when multiple forces act on an object, the total force is the vector sum of the individual forces. In electrostatics, this principle is used to calculate the net force on a charge due to several other charges, by adding the force vectors from each source.

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