Two uniformly charge spheres are firmly fastened

In summary, on an air table with two uniformly charged spheres, one with three times the charge of the other, the correct force diagram would show the charges repelling each other in opposite directions, with equal magnitude. The correct option for this force diagram would be option 5.
  • #1
Xaspire88
100
0
Two uniformly charge spheres are firmly fastened to and electrically insulated from frictionless pucks on an air table. The charge on sphere 2 is three time the charge on sphere 1. Which force diagram correctly shows the magnitude and direction of the electrostatic forces: Explain

< -----Charge 1 Charge 2 -->

is this not correct? what should it be?
 
Physics news on Phys.org
  • #2
What options are you given? If the charge on one is 3 times the charge on the other... then the charges are the same sign... hence they repel. the force on one sphere is equal and opposite to the force on the other sphere.
 
  • #3
1. Charge 1---> Charge 2--------->

2. <---Charge 1 Charge 2-------->

3. <--------Charge 1 Charge 2--->

4. <--------Charge 1 <---Charge 2

5. <---Charge 1 Charge 2--->

6. Charge 1 Charge 2--->


So the magnitude of the force on each one would be the same so it would be option 5


repel each other so the forces are in opposite directions.. and they act upon each other in equal but opposite directions so the magnitude would be the same. OK #5 then.
 
  • #4
yup. #5 looks right to me.
 

FAQ: Two uniformly charge spheres are firmly fastened

What is the force between the two spheres?

The force between two uniformly charged spheres that are firmly fastened depends on the charge of each sphere, the distance between them, and the permittivity of the medium between them. This force can be calculated using Coulomb's law, which states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

How does the distance between the spheres affect the force between them?

The force between two uniformly charged spheres is inversely proportional to the square of the distance between them. This means that as the distance between the spheres increases, the force decreases. Similarly, as the distance decreases, the force increases.

Can the charge of the spheres affect the force between them?

Yes, the charge of the spheres directly affects the force between them. The greater the charges on the spheres, the greater the force between them. Similarly, if the charges have opposite signs, the force will be attractive, while if they have the same sign, the force will be repulsive.

What is the permittivity of the medium between the spheres?

The permittivity of the medium between the spheres is a measure of the medium's ability to store an electric field. It is denoted by the symbol ε and is typically measured in units of farads per meter (F/m). The permittivity of a vacuum is approximately 8.85 x 10^-12 F/m.

Can I use Coulomb's law to calculate the force between two spheres with non-uniform charge distributions?

No, Coulomb's law can only be used to calculate the force between two uniformly charged spheres. If the charge distribution on the spheres is non-uniform, a different method, such as integration, must be used to calculate the force between them.

Back
Top