Solve your doubts and expand your knowledge with IDNLearn.com's extensive Q&A database. Find the answers you need quickly and accurately with help from our knowledgeable and dedicated community members.
Sagot :
The force between the two identical electrical charges with the given distance of seperation is 0.2247N.
Given the data in the question;
- Two Charge; [tex]q_1\ and \ q_2 = 1.0* 10^{-5}C[/tex]
- Distance between [tex]q_1\ and \ q_2[/tex]; [tex]r = 2.0m[/tex]
- Force between [tex]q_1\ and\ q_2[/tex]; [tex]F = ?[/tex]
Coulomb's law
Coulomb's law states that the force between two electrical charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between the two charges.
This is expressed as;
[tex]F = k\frac{q_1q_2}{r^2}[/tex]
Where [tex]q_1\ and \ q_2[/tex] are the two electrical charges, r is the distance between the charges and k is the Coulomb constant ( [tex]k = 8.98755*10^9 kgm^3/s^2C^2[/tex] )
To determine the force between the two charges, we substitute our values into the expression above.
[tex]F = k\frac{q_1q_2}{r^2}\\\\F = (8.98755*10^9 kgm^3/s^2C^2)\frac{(1.0*10^{-5}C)(1.0*10^{-5}C)}{(2.0m)^2}\\\\F = (8.98755*10^9 kgm^3/s^2C^2)\frac{1.0*10^{-10}C^2}{4.0m^2}\\\\F = \frac{0.898755kgm^3/s^2}{4.0m^2}\\ \\F = 0.2247kgm/s^2\\\\F = 0.2247N[/tex]
Therefore, the force between the two identical electrical charges with the given distance of seperation is 0.2247N.
Learn more about coulomb's law: https://brainly.com/question/506926
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.