# Electric force and distance relationship

### Coulomb's law | physics | szsizu.info

Now place them at a distance of 1 metre. In both cases, forces are same (by Coulomb's law) because the charges on each ball and the distance. Experiments have shown that the electric force between two objects is proportional to the inverse square of the distance between the two objects. The electric. Inverse relationships are common in nature. In electrostatics, the electrical force between two charged objects is inversely related to the distance of separation.

In this section of Lesson 3, we will explore the importance of these three variables.

Force as a Vector Quantity The electrical force, like all forces, is typically expressed using the unit Newton. Being a force, the strength of the electrical interaction is a vector quantity that has both magnitude and direction.

### Coulomb's law - Wikipedia

The direction of the electrical force is dependent upon whether the charged objects are charged with like charge or opposite charge and upon their spatial orientation. By knowing the type of charge on the two objects, the direction of the force on either one of them can be determined with a little reasoning. In the diagram below, objects A and B have like charge causing them to repel each other.

Thus, the force on object A is directed leftward away from B and the force on object B is directed rightward away from A. On the other hand, objects C and D have opposite charge causing them to attract each other. Thus, the force on object C is directed rightward toward object D and the force on object D is directed leftward toward object C.

When it comes to the electrical force vector, perhaps the best way to determine the direction of it is to apply the fundamental rules of charge interaction opposites attract and likes repel using a little reasoning.

Electrical force also has a magnitude or strength. Like most types of forces, there are a variety of factors that influence the magnitude of the electrical force. Two like-charged balloons will repel each other and the strength of their repulsive force can be altered by changing three variables. First, the quantity of charge on one of the balloons will affect the strength of the repulsive force.

The more charged a balloon is, the greater the repulsive force.

## How are electric forces and distance related?

Second, the quantity of charge on the second balloon will affect the strength of the repulsive force. Gently rub two balloons with animal fur and they repel a little. Rub the two balloons vigorously to impart more charge to both of them, and they repel a lot.

Finally, the distance between the two balloons will have a significant and noticeable effect upon the repulsive force.

The electrical force is strongest when the balloons are closest together. Decreasing the separation distance increases the force. The magnitude of the force and the distance between the two balloons is said to be inversely related.

## Work and Voltage: Constant Electric Field

Coulomb's Law Equation The quantitative expression for the effect of these three variables on electric force is known as Coulomb's law. Coulomb's law states that the electrical force between two charged objects is directly proportional to the product of the quantity of charge on the objects and inversely proportional to the square of the separation distance between the two objects.

In equation form, Coulomb's law can be stated as where Q1 represents the quantity of charge on object 1 in CoulombsQ2 represents the quantity of charge on object 2 in Coulombsand d represents the distance of separation between the two objects in meters.

The symbol k is a proportionality constant known as the Coulomb's law constant.

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The value of this constant is dependent upon the medium that the charged objects are immersed in. In the case of air, the value is approximately 9. Two charged objects have an attractive force of 0. If the distance separating the objects is quadrupled, then what is the new force?

If the distance separating the objects is halved, then what is the new force?

**2.4.1 The Work Done in Moving a Charge**

So if d is two times smaller, then F is four times larger. If the charge of one of the objects is doubled, and the distance separating the objects is doubled, then what is the new force? The electrostatic force is directly related to the product of the charges and inversely related to the square of the separation distance. Doubling one of the charges would serve to double the force. Doubling the distance would serve to reduce the force by a factor of four.

### Work Done by Electric field

The combined affect of these two variations would be to decrease the force by a factor of two - changing it from 0. If the charge of both of the objects is doubled and the distance separating the objects is doubled, then what is the new force? Doubling both of the charges would serve to quadruple the force.

The combined affect of these two variations would be to not change the force at all; it remains as 0. If the charge of one of the objects is increased by a factor of four, and the distance separating the objects is doubled, then what is the new force?

Quadrupling one of the charges would serve to quadruple the force.

The combined affect of these two variations would be to not alter the force at all; it would remain as 0. If the charge of one of the objects is tripled and the distance separating the objects is tripled, then what is the new force?