suppose that two point charges each with a charge of +1 coulomb are separated by a distance of 1 meter will they attract or repel ? determine the magnitude of the electrical force between them
To determine whether two point charges will attract or repel each other and calculate the magnitude of the electrical force between them, you can use Coulomb's Law.
Coulomb's Law states that the electrical force between two charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
Mathematically, Coulomb's Law can be written as:
F = k * (|q1| * |q2|) / r^2
Where:
- F is the magnitude of the electrical force between the charges,
- k is the Coulomb's constant (k ≈ 9 x 10^9 N m^2/C^2),
- q1 and q2 are the magnitudes of the charges,
- r is the distance between the charges.
In this case, both charges are +1 coulomb, so q1 = q2 = +1 C. The distance between them is 1 meter, so r = 1 m.
Plugging these values into Coulomb's Law:
F = (9 x 10^9 N m^2/C^2) * ((+1 C) * (+1 C)) / (1 m)^2
Calculating the expression:
F = (9 x 10^9 N m^2/C^2) * (1 C^2) / (1 m^2)
F = 9 x 10^9 N
Therefore, the magnitude of the electrical force between the two point charges is 9 x 10^9 N.
To determine whether two point charges will attract or repel each other, we need to consider their charges. In this case, both charges have a charge of +1 coulomb.
Since both charges have the same sign (+), they will repel each other. Opposite charges (positive and negative) attract, while like charges (both positive or both negative) repel.
To determine the magnitude of the electrical force between the two charges, we can use Coulomb's Law. Coulomb's Law states that the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. The formula can be written as:
F = k * (|q1 * q2|) / r^2
Where:
F = Electrical force between the charges
k = Coulomb's constant (approximately equal to 9 x 10^9 N m^2/C^2)
|q1, q2| = Magnitude of the charges (in this case, both |q1| and |q2| are 1 C)
r = Distance between the charges (1 meter in this case)
By plugging in the values into the formula, we get:
F = (9 x 10^9 N m^2/C^2) * (|1 C * 1 C|) / (1^2 m^2)
Simplifying, we have:
F = (9 x 10^9 N m^2/C^2) * 1 C^2 / 1 m^2
F = 9 x 10^9 N
Therefore, the magnitude of the electrical force between the two +1 C charges separated by a distance of 1 meter is 9 x 10^9 Newtons.