Two charges of magnitude 0.00000000032 is placed in an electric field. calculate the force of attraction between them
To calculate the force of attraction between two charges in an electric field, you need to use Coulomb's law. Coulomb's law states that the force of attraction between two charges is directly proportional to the product of their magnitudes 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 force of attraction, k is the Coulomb's constant (approximately 9 × 10^9 Nm²/C²), q1 and q2 are the magnitudes of the charges, and r is the distance between the charges.
In this case, both charges have a magnitude of 0.00000000032, so q1 = q2 = 0.00000000032. Now, let's assume that the distance between the charges is given. If the distance is not specified, you'll need to know it in order to calculate the force.
Let's say the distance between the charges is 1 meter (r = 1).
Plugging the values into the formula, we get:
F = (9 × 10^9 Nm²/C²) * (0.00000000032 C * 0.00000000032 C) / (1 m)^2
F = (9 * 10^9 * 0.00000000032 * 0.00000000032) / 1
F = 9 * 10^9 * 0.00000000032^2
F = 9 * 10^9 * 0.0000000000001024
F ≈ 9.216 N
Therefore, the force of attraction between the two charges is approximately 9.216 Newtons.