What is the magnitude of the electric force between a proton and an electron when they are at a distance of 2.63 Angstrom from each other?
To find the magnitude of the electric force between a proton and an electron, you can use Coulomb's law. Coulomb's law states that the magnitude of the electric force between two charged objects is directly proportional to the product of their 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 magnitude of the electric force
k is the Coulomb's constant (approximately equal to 9 × 10^9 N•m^2/C^2)
|q1| and |q2| are the magnitudes of the charges of the two objects
r is the distance between the two objects
In this case, a proton has a charge of +1.6 × 10^-19 C and an electron has a charge of -1.6 × 10^-19 C. The magnitude of the charges is the same regardless of the sign.
Substituting the given values into the equation, we have:
F = (9 × 10^9 N•m^2/C^2) * (|1.6 × 10^-19 C| * |1.6 × 10^-19 C|) / (2.63 × 10^-10 m)^2
Calculating this expression will give you the magnitude of the electric force between the proton and the electron when they are at a distance of 2.63 Angstrom from each other.
To calculate the magnitude of the electric force between a proton and an electron, you can use Coulomb's Law. Coulomb's Law states that the magnitude of the electric force between two charged particles is given by:
F = (k * q1 * q2) / r^2
where F is the magnitude of the electric force, k is the electrostatic constant (9 * 10^9 N m^2/C^2), q1 and q2 are the charges of the proton and electron respectively, and r is the distance between the particles.
In this case, the charge of a proton (q1) is +1.6 * 10^-19 C and the charge of an electron (q2) is -1.6 * 10^-19 C. The distance between them (r) is 2.63 Angstrom, which is equivalent to 2.63 * 10^-10 m.
Now, let's substitute these values into Coulomb's Law:
F = ((9 * 10^9 N m^2/C^2) * (1.6 * 10^-19 C) * (-1.6 * 10^-19 C)) / (2.63 * 10^-10 m) ^ 2
Calculating this expression will give you the magnitude of the electric force between the proton and electron at a distance of 2.63 Angstrom.