What is the electric force acting on the charge at the origin?

In summary, there are three charges arranged in a triangle: q1 = 4.3 nC, q2 = 6.6 nC, and q3 = -2.3 nC. The electric force acting on the charge at the origin is 1.1739e-5 N, 270 ° counterclockwise from the negative x-axis. The net electric field at the position of the charge at the origin is 4.3e12 N/C, 270 ° counterclockwise from the negative x-axis. To solve this problem, the equations F=kQ1Q2/r^2 and F=qE were used, and the direction of the force was determined using Pythag
  • #1
gotpink74
49
0
1. Consider three charges q1 = 4.3 nC, q2 = 6.6 nC, and q3 = -2.3 nC, arranged in a triangle as shown below.

(a) What is the electric force acting on the charge at the origin?
N, ° counterclockwise from the negative x-axis

(b) What is the net electric field at the position of the charge at the origin?
N/C, ° counterclockwise from the negative x-axi
picture of problem
http://www.webassign.net/holtphys/p16-38alt.gif

2. Homework Equations
F=kQ1Q2/r^2


3. The Attempt at a Solution
a) What is the electric force acting on the charge at the origin?
1.1739e-5 N, 270 ° counterclockwise from the negative x-axis

(b) What is the net electric field at the position of the charge at the origin?
4.3e12 N/C, 270 ° counterclockwise from the negative x-axis
 
Physics news on Phys.org
  • #2
p16-38alt.gif


You have to show your working and your reasoning or we cannot help you.
The procedure is to work out the force vectors for each charge and add them.
(Hint: pythagoras)

270 degrees looks a bit odd to me. That would be pointing along the +y axis.
reality-check: q1 is repulsed by q2 and attracted to q3 so the force points down and to the right ... so the angle should be less than 90 degrees.

Your equations are more carefully written like this:
[tex]\vec{F}_{a,b}=\frac{kq_aq_b}{r_{b,a}^2}\hat{r}_{b,a}\qquad \vec{F}=q\vec{E}[/tex]
 
Last edited:

1. What is the definition of electric force?

The electric force is a fundamental force of nature that describes the attraction or repulsion between two charged particles. It is caused by the interaction of electric fields created by the charges.

2. How is electric force calculated?

The electric force is calculated using Coulomb's Law, which states that the force between two charges is directly proportional to the magnitude of the charges and inversely proportional to the square of the distance between them.

3. What is the unit of measurement for electric force?

The unit of measurement for electric force is Newtons (N) in the SI system. In the CGS system, the unit is dynes (dyn).

4. How does the distance between charges affect the electric force?

The electric force is inversely proportional to the square of the distance between charges. This means that as the distance between charges increases, the force between them decreases.

5. What is the direction of the electric force?

The direction of the electric force depends on the charges involved. Like charges (positive-positive or negative-negative) repel each other, while opposite charges (positive-negative) attract each other. The force acts along the line connecting the two charges.

Similar threads

  • Introductory Physics Homework Help
Replies
12
Views
201
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
23
Views
6K
Replies
17
Views
982
  • Introductory Physics Homework Help
Replies
10
Views
179
  • Introductory Physics Homework Help
Replies
26
Views
577
  • Introductory Physics Homework Help
Replies
2
Views
941
  • Introductory Physics Homework Help
Replies
1
Views
819
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
14
Views
638
Back
Top