The force acting between two parallel conductors carrying current can be calculated using Ampere's law. According to Ampere's law, the force per unit length between two parallel conductors is given by the formula:

F = (μ₀ * I₁ * I₂ * L) / (2πd)

Where:
F is the force between the two conductors
μ₀ is the permeability of free space (4π × 10^-7 Tm/A)
I₁ and I₂ are the currents flowing through the conductors
L is the length of the conductors
d is the perpendicular distance between the conductors

Let's calculate the force using the given values:

Length of each conductor (L) = 12 m
Perpendicular distance between the conductors (d) = 0.15 cm = 0.0015 m
Current flowing through each conductor (I₁ and I₂) = 300 A

Substituting these values into the formula, we get:

F = (4π × 10^-7 Tm/A * 300 A * 300 A * 12 m) / (2π * 0.0015 m)

Simplifying the expression:

F = (4 * 3.14 * 10^-7 * 300 * 300 * 12) / (2 * 0.0015)

F = (3.7692 * 10^-2) / (3 * 10^-3)

F = 12.564 N

Therefore, the force acting between the two conductors carrying 300 A in the same direction is 12.564 N.

Explanation:

1. Ampere's Law: The force between two parallel conductors carrying current can be calculated using Ampere's law.
2. Formula: The force per unit length between the conductors is given by F = (μ₀ * I₁ * I₂ * L) / (2πd), where μ₀ is the permeability of free space.
3. Given Values: We are given the length of each conductor (L), the perpendicular distance between the conductors (d), and the current flowing through each conductor (I₁ and I₂).
4. Substitution: We substitute the given values into the formula to calculate the force.
5. Simplification: We simplify the expression by performing the necessary calculations.
6. Final Result: The calculated force is 12.564 N, which represents the force acting between the two conductors.