The Equation $$F = k \left( \frac{q_1 \times q_2}{r^2} \right)$$​ is representation of:

Where F is the attractive or repulsive electric force of two point charges q₁ and q_2, and r is the distance between the two charges.

Correct option is A

The correct answer is (a) Coulomb’s Law

Explanation:

The equation

​$$F = k \left( \frac{q_1 \times q_2}{r^2} \right)$$​​

represents Coulomb’s Law, which describes the electrostatic force between two point charges.

• Here:
• F is the electrostatic force (attractive or repulsive),
• ​$$q_1$$​​ and $$q_2​$$​ are the magnitudes of the two point charges,
• r is the distance between the charges,
• k is the Coulomb’s constant ($$k = 8.99 \times 10^9 \, Nm^2/C^2$$​).

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.

Information Booster:

Nature of Force:

o   Attractive if charges are of opposite signs.

o   Repulsive if charges are of the same sign.

Coulomb’s Constant (k) is derived from:

​$$k = \frac{1}{4\pi \varepsilon_0}$$​

where $$\varepsilon_0​$$​ is the permittivity of free space.

This law is fundamental in electrostatics and forms the basis for understanding electric fields and forces.

Additional Knowledge:

• Biot–Savart Law: Deals with magnetic fields produced by a current-carrying conductor.
• Charles's Law: A law in thermodynamics relating volume and temperature of a gas. States that volume is directly proportional to temperature at constant pressure.
• Ohm’s Law: A basic electrical law that relates voltage (V), current (I), and resistance (R) in a circuit: V=IR