According to Coulomb's law, what is the force between two charges of +3 µC and -

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Question: According to Coulomb\'s law, what is the force between two charges of +3 µC and -2 µC separated by a distance of 0.1 m?

Options:

Correct Answer: 0.54 N

Solution:

Force F = k * |q₁ * q₂| / r² = (8.99 x 10^9 N m²/C² * |3 x 10^-6 C * -2 x 10^-6 C|) / (0.1 m)² = 0.54 N.

According to Coulomb's law, what is the force between two charges of +3 µC and -2 µC separated by a distance of 0.1 m?

According to Coulomb's law, what is the force between two charges of +3 µC and -2 µC separated by a distance of 0.1 m?

Step 1: Identify the values given in the problem. We have two charges: q₁ = +3 µC and q₂ = -2 µC. Convert these to Coulombs: q₁ = 3 x 10^-6 C and q₂ = -2 x 10^-6 C.
Step 2: Identify the distance between the charges, which is given as r = 0.1 m.
Step 3: Use Coulomb's law formula: F = k * |q₁ * q₂| / r², where k is Coulomb's constant (approximately 8.99 x 10^9 N m²/C²).
Step 4: Calculate the product of the charges: |q₁ * q₂| = |(3 x 10^-6 C) * (-2 x 10^-6 C)| = 6 x 10^-12 C².
Step 5: Substitute the values into the formula: F = (8.99 x 10^9 N m²/C² * 6 x 10^-12 C²) / (0.1 m)².
Step 6: Calculate the denominator: (0.1 m)² = 0.01 m².
Step 7: Now calculate the force: F = (8.99 x 10^9 * 6 x 10^-12) / 0.01.
Step 8: Perform the multiplication: 8.99 x 6 = 53.94, so F = 53.94 x 10^-3 N = 0.5394 N.
Step 9: Round the answer to two decimal places: F ≈ 0.54 N.

Coulomb's Law – Coulomb's law describes the electrostatic force between two charged objects, which is proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them.