The equation

$$
F = k \left( \frac{q_1 imes q_2}{r^2} ight)
$$

represents the force between two point charges, where $F$ is the electrostatic force (attractive or repulsive), $q_1$ and $q_2$ are the magnitudes of the charges, $r$ is the distance between them, and $k$ is Coulomb's constant. This equation is a representation of which law?

Question

The equation

$$
F = k \left( \frac{q_1 	imes q_2}{r^2} ight)
$$

represents the force between two point charges, where $F$ is the electrostatic force (attractive or repulsive), $q_1$ and $q_2$ are the magnitudes of the charges, $r$ is the distance between them, and $k$ is Coulomb's constant. This equation is a representation of which law?

Accepted Answer

**Solution:**

1. The given equation

$$
   F = k \left( \frac{q_1 	imes q_2}{r^2} ight)
   $$

describes the electrostatic force between two point charges.

2. Here:
   - $F$ is the force between the charges.
   - $q_1$ and $q_2$ are the magnitudes of the charges.
   - $r$ is the distance between the charges.
   - $k$ is Coulomb's constant, $k = 8.99 	imes 10^9 	ext{ Nm}^2/	ext{C}^2$.

3. This is the statement of **Coulomb’s law**, which 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.

4. Other laws mentioned do not describe this force:
   - **Biot-Savart law** relates to magnetic fields from currents.
   - **Charles's law** relates volume and temperature of gases.
   - **Ohm's law** relates voltage, current, and resistance in circuits.

**Answer:** Coulomb’s law

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