Well what is Coulomb's constant?yungwun22 said:Homework Statement
I'm not really sure how to go about thisHomework Equations
The Attempt at a Solution
Then there is nothing left to do since as you have now pointed out in your edited opening post, it is clear thatyungwun22 said:it's 1/(4*pi*episolon naught) where episolon naught is 8.85 x 10^-12 F/m. yes, e is the elementary charge.
e is a mathematical constant approximately equal to 2.71828. It is also known as the base of the natural logarithm.
Coulomb's constant, denoted by k, is a proportionality constant in the Coulomb's law equation which describes the electrostatic force between two charged particles. Its value is approximately 8.99 x 10^9 Nm^2/C^2.
The relationship between e^2 and Coulomb's constant is that they are both used in the calculation of the electrostatic force between two charged particles. Specifically, the product of e^2 and Coulomb's constant results in 1, as represented by the equation e^2 x k = 1.
e^2 is often used in equations involving Coulomb's constant because it simplifies the calculations and allows for a more concise representation of the relationship between the variables. It also helps to relate the natural logarithmic scale to the electrostatic force scale.
Coulomb's constant is related to the permittivity of free space, denoted by ε0, by the equation k = 1/(4πε0). This relationship allows for the conversion between the units of Coulomb's constant and the permittivity of free space.