The electrostatic potential energy of two spheres

In summary, the conversation discusses substituting values into a specific equation and whether it results in an overall factor of 4. It is also mentioned that putting a square on Q would yield the same result. Additionally, a puzzle is mentioned where the initial and final potential energies of two spheres are compared. The conclusion is that the energy stayed the same.
  • #1
Fatima Hasan
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Homework Statement


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Homework Equations


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The Attempt at a Solution


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Is my answer correct ?
 

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  • #2
Yes.
 
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  • #3
If you substitute ##Q_1 = 4Q## and ##Q_2 = 4Q## into ##\frac{k Q_1 Q_2}{L}##, do you get an overall factor of 4 in the answer?
 
  • #4
TSny said:
If you substitute ##Q_1 = 4Q## and ##Q_2 = 4Q## into ##\frac{k Q_1 Q_2}{L}##, do you get an overall factor of 4 in the answer?
##\frac{16 k Q}{L}## .
 
  • #5
Fatima Hasan said:
##\frac{16 k Q}{L}## .
Yes, if you put a square on the Q.
 
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  • #6
If you like puzzles, compare the initial potential energy of the two spheres with the final potential energy of the two spheres. Did the energy increase, decrease, or stay the same?
 

FAQ: The electrostatic potential energy of two spheres

What is the formula for calculating the electrostatic potential energy of two spheres?

The formula for calculating the electrostatic potential energy of two spheres is given by U = k(q1*q2)/r, where k is the Coulomb constant, q1 and q2 are the charges on the two spheres, and r is the distance between the centers of the spheres.

How does the distance between the two spheres affect the electrostatic potential energy?

The electrostatic potential energy is inversely proportional to the distance between the two spheres. This means that as the distance increases, the electrostatic potential energy decreases and vice versa.

Can the electrostatic potential energy of two spheres be negative?

Yes, the electrostatic potential energy of two spheres can be negative. This occurs when the two spheres have opposite charges, causing the potential energy to be negative.

What factors affect the electrostatic potential energy of two spheres?

The electrostatic potential energy of two spheres is affected by the charges on the two spheres, the distance between them, and the medium in which they are located. It is also affected by any external electric fields present.

How is the electrostatic potential energy of two spheres related to their electric potential?

The electrostatic potential energy of two spheres is directly related to their electric potential. The electric potential is the electrostatic potential energy per unit charge, so a change in the potential energy will result in a change in the electric potential.

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