2. One +1.0 C (one coulomb) charge and another -1.0 C charge are located 1.0 m apart.
a. Calculate the magnitude of the electric force between them.
b. In what direction does the force act?
like charges repel
opposite charges attract
F = k Q1Q2/d^2
k = 9*10^9
https://en.wikipedia.org/wiki/Coulomb%27s_law
so 9*10^9 Newtons
To calculate the magnitude of the electric force between two charges, you can use Coulomb's Law. Coulomb's Law states that the force between two point charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them. Mathematically, it is expressed as:
F = k * (|q1| * |q2|) / r^2
Where:
F is the magnitude of the electric force
k is the electrostatic constant (approximately equal to 9 x 10^9 Nm^2/C^2)
|q1| and |q2| are the magnitudes of the charges
r is the distance between the charges
a. Calculate the magnitude of the electric force:
In this case, |q1| = 1.0 C and |q2| = 1.0 C, and r = 1.0 m. Plugging in these values into the formula, we get:
F = (9 x 10^9 Nm^2/C^2) * (1.0 C * 1.0 C) / (1.0 m)^2
F = 9 x 10^9 N
Therefore, the magnitude of the electric force between the two charges is 9 x 10^9 Newtons.
b. Determine the direction of the force:
The force between two charges can be either attractive or repulsive, depending on their signs. In this case, one charge is positive and the other is negative. Opposite charges attract each other, so the force between them will be attractive. Thus, the electric force acts in the direction from the positive charge towards the negative charge.
a. To calculate the magnitude of the electric force between the charges, we can use Coulomb's Law, which states that the force between two charges is proportional to the product of their charges and inversely proportional to the square of the distance between them.
The formula for Coulomb's Law is:
F = (k * |q1 * q2|) / r^2
Where:
F is the magnitude of the electric force
k is the electrostatic constant, approximately equal to 9.0 x 10^9 N*m^2/C^2
q1 and q2 are the magnitudes of the charges
r is the distance between the charges
Given:
q1 = +1.0 C
q2 = -1.0 C
r = 1.0 m
Plugging in the values into the formula, we have:
F = (9.0 x 10^9 N*m^2/C^2 * |1.0 C * -1.0 C|) / (1.0 m)^2
F = (9.0 x 10^9 N*m^2/C^2 * 1.0 C * 1.0 C) / 1.0 m^2
F = 9.0 x 10^9 N*m^2/C^2
Therefore, the magnitude of the electric force between the charges is 9.0 x 10^9 N*m^2/C^2.
b. The direction of the force between the charges is attractive because one charge is positive and the other is negative. Thus, the force will act towards each other, pulling the charges together.