# Coulomb's law; vector form problem

• Dogger
In summary, Coulomb's Law in vector form is a mathematical equation that describes the electrostatic interaction between two charged particles. It is expressed as F = kq<sub>1</sub>q<sub>2</sub>r<sup>-2</sup>, where F is the force of attraction or repulsion between the charges, k is the Coulomb's constant, q<sub>1</sub> and q<sub>2</sub> are the magnitudes of the charges, and r is the distance between them. The direction in Coulomb's Law is significant as it determines the nature of the force (attractive or repulsive) between the charges. The distance between charges is inversely proportional to the force
Dogger

## Homework Statement

3 charges are placed like shown:

Q1 __4cm____ Q2 ______6cm___________Q3
Q1=-2nC
Q2= 1nC
Q3= 3nC
Find the resultant force and its direction upon the charge Q3.

## Homework Equations

F=k0*(Q1Q2)/r2
k0-constant, equals to 9*10^9
r-distance

## The Attempt at a Solution

F1,2=9*10^9*(-2*10^-9*3*10^-9)/(4*10^-2)^2=-11.25*10^-6
F2,3=7,5*10^-6
F1,3=-5,4*10^-6
F(resultant)= 7,5-11,25-5,4 (*10^-6)= -9,15 *10^-6

Welcome to PF!

Does the force F1,2 act on Q3?

## 1. What is Coulomb's Law in vector form?

Coulomb's Law in vector form is a mathematical equation that describes the electrostatic interaction between two charged particles. It takes into account the magnitude and direction of the charges, as well as the distance between them.

## 2. How is Coulomb's Law expressed in vector form?

Coulomb's Law in vector form is expressed as F = kq1q2r-2, where F is the force of attraction or repulsion between the two charges, k is the Coulomb's constant, q1 and q2 are the magnitudes of the charges, and r is the distance between them.

## 3. What is the significance of the direction in Coulomb's Law vector form?

The direction in Coulomb's Law vector form is important because it determines whether the force between the two charges is attractive or repulsive. If the charges have the same sign, the force will be repulsive, while opposite charges will result in an attractive force.

## 4. How does the distance between charges affect Coulomb's Law in vector form?

The distance between charges is inversely proportional to the force of attraction or repulsion between them. This means that as the distance increases, the force decreases, and vice versa. In other words, the closer the charges are, the stronger the force will be.

## 5. Can Coulomb's Law be applied to objects with non-point charges?

Yes, Coulomb's Law can be applied to objects with non-point charges by considering the charges as a collection of point charges and using vector addition to calculate the net force. This is known as the superposition principle.

• Introductory Physics Homework Help
Replies
3
Views
332
• Introductory Physics Homework Help
Replies
3
Views
1K
• Introductory Physics Homework Help
Replies
2
Views
2K
• Introductory Physics Homework Help
Replies
6
Views
7K
• Introductory Physics Homework Help
Replies
8
Views
2K
• Introductory Physics Homework Help
Replies
2
Views
9K
• Introductory Physics Homework Help
Replies
5
Views
5K
• Introductory Physics Homework Help
Replies
4
Views
6K
• Introductory Physics Homework Help
Replies
6
Views
1K
• Introductory Physics Homework Help
Replies
1
Views
1K