Ответы
Ответ:
To find the force (F) and the electric field (E), we can use the formula for the electric force between two point charges:
F = k * |q1 * q2| / r^2
where:
F = electric force
k = Coulomb's constant = 9 * 10^9 N m^2/C^2
q1, q2 = magnitudes of the charges in coulombs
r = separation distance between the charges in meters
We can also calculate the electric field (E) using the formula:
E = F / q
where:
E = electric field
F = electric force
q = magnitude of the charge in coulombs
Given:
k = 9 * 10^9 N m^2/C^2
q1 = 5 * 10^-9 C
q2 = 10 * 10^-9 C
r = 0.1 m (10 cm)
First, let's calculate the electric force (F):
F = (9 * 10^9) * |5 * 10^-9 * 10 * 10^-9| / (0.1)^2
F = (9 * 10^9) * |50 * 10^-18| / 0.01
F = (9 * 10^9) * (50 * 10^-18) / 0.01
F = (9 * 10^9) * (0.5 * 10^-16) / 0.01
F = 4.5 * 10^-7 / 0.01
F ≈ 4.5 * 10^-5 N
Now, let's calculate the electric field (E):
E = F / q2
E = (4.5 * 10^-5) / (10 * 10^-9)
E = 4.5 * 10^-5 / 10 * 10^-9
E = 4.5 * 10^-5 / 10^-8
E = 4.5 * 10^3 N/C
So, the electric force (F) is approximately 4.5 * 10^-5 N and the electric field (E) is approximately 4.5 * 10^3 N/C.