Two identical charges, each -8.00x10-5 C,are separeted by a distance of 25.0cm. Find the electric force between them?
To find the electric force between two charges, you can use Coulomb's Law. Coulomb's Law states that the electric force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. The equation for Coulomb's Law is:
F = (k * q1 * q2) / r^2
where:
F is the electric force between the charges,
k is Coulomb's constant (k = 8.99 x 10^9 N.m^2/C^2),
q1 and q2 are the magnitudes of the charges, and
r is the distance between the charges.
In your case, the charges are identical and have the same magnitude of -8.00 x 10^-5 C, and the distance between them is 25.0 cm (which needs to be converted to meters).
First, let's convert the distance from centimeters to meters:
25.0 cm = 0.25 m
Now, let's substitute the values into the formula:
F = (8.99 x 10^9 N.m^2/C^2) * (-8.00 x 10^-5 C) * (-8.00 x 10^-5 C) / (0.25 m)^2
Simplifying the equation:
F = (8.99 x 10^9 N.m^2/C^2) * (6.4 x 10^-9 C^2) / 0.0625 m^2
F = 0.91136 N
Therefore, the electric force between the charges is 0.91136 N.