Calculate the electric force between these two
electrons. The value of the Coulomb constant
9 × 109 N · m2/ C2
and the elemental charge is
1.6 × 10−19 C .
Answer in units of N.
To calculate the electric force between two electrons, we can use Coulomb's Law. Coulomb's Law states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
The formula for the electric force (F) between two charged particles is given by:
F = (k * q1 * q2) / r^2
Where:
F is the electric force,
k is the Coulomb constant (9 × 10^9 N · m^2/C^2),
q1 and q2 are the charges of the particles, and
r is the distance between the particles.
In this case, since we are dealing with two electrons, both having the same negative charge, we can replace q1 and q2 with the elementary charge (e), which is 1.6 × 10^-19 C.
Also, since we are looking for the force between the electrons, the distance (r) is not given. So, we will assume it to be the typical distance between two electrons which is approximately the size of an atom, around 1 × 10^-10 meters.
Now, let's substitute the given values into the formula:
F = (9 × 10^9 N · m^2/C^2) * (1.6 × 10^-19 C) * (1.6 × 10^-19 C) / (1 × 10^-10 m)^2
Calculating this, we get:
F ≈ 2.31 × 10^-28 N
Therefore, the electric force between these two electrons is approximately 2.31 × 10^-28 N.