# What is the net electric force on the charge at the origin?

• sushi362
In summary, the problem involves three charges arranged in a triangle, with the first charge at the origin. The net electric force on the charge at the origin is 2.5*10^-6 and the direction is -102.38 degrees. To find the magnitude of the net electric field at the position of the charge at the origin, the equation E = Kc * Q/r^2 can be used. Using this equation, the electric field can be calculated for each individual charge and then summed together to find the net electric field. It should also be considered that the charge at the origin may not affect a test charge placed directly in the middle of it.
sushi362

## Homework Statement

Consider three charges in a triangle as shown.

1. What is the net electric force on the charge at the origin?

2. What is the direction of this force(between -180 and 180)?

3. What is the magnitude of the net electric field at the position of the charge at the origin?

4. What is the direction of the net electric field?

E = Kc * Q/r^2

## The Attempt at a Solution

I solved part 1, to be 2.5*10^-6
part 2 is -102.38

i have no clue what to do for part 3.
once i figure that out, i should be able to do part 4.

#### Attachments

• Screen Shot 2013-02-07 at 12.17.27 AM.png
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You listed the equation for the electric field, why not use it?

Net electric field is found form the electric field created by the charges.

Electric field is also a vector quantity which can be summed.

E = kq/r2

You should be able to find the electric field for each charge and through vector addition, find the net field.

Also consider: The charge at the origin does have a field, but if a test charge is at the origin too, (directly in the middle of the charge at the origin), will the test charge be affected by the field of the charge at the origin?

tms said:
You listed the equation for the electric field, why not use it?

so #3 is the same as #1?

i used the equation to calculate the e field for the 2 points: origin to the right of the origin, and origin to south of origin. then i took the square root of the squares of those values, and got part 1 again?

sushi362 said:
so #3 is the same as #1?
No. #1 wants the force while #3 wants the field. They aren't the same. The equation you wrote down under "Relevant equations" is for the field.

## 1. What is the net electric force on the charge at the origin?

The net electric force on a charge at the origin is the sum of all the electric forces acting on that charge. It is a vector quantity that takes into account the magnitude and direction of each individual electric force.

## 2. How is the net electric force calculated?

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

## 3. What factors affect the net electric force on a charge at the origin?

The net electric force on a charge at the origin is affected by the magnitude and direction of the individual electric forces acting on it, as well as the distance between the charges and any intervening materials that may influence the electric field.

## 4. Can the net electric force be zero?

Yes, the net electric force on a charge at the origin can be zero if the individual electric forces acting on it cancel each other out. This can occur if there is an equal and opposite force acting on the charge, or if the electric forces are acting at different angles and balance each other out.

## 5. How does the net electric force affect the motion of the charge?

The net electric force determines the acceleration of the charge, according to Newton's second law of motion (F = ma). If the net electric force is non-zero, the charge will experience an acceleration in the direction of the force. If the net electric force is zero, the charge will not experience any acceleration.

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