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Grade 12Mechanics

An isolated unit north pole experience a force of 2×10000000 when kept at a distance of 1m from a magnetic pole in air the pole strength of the pole is

Profile image of Praneesha
6 Years agoGrade 12
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1 Answer

Profile image of ROSHAN MUJEEB
6 Years ago

We will use Coulomb’s Law for Magnetism to solve this problem. The formula for the force between two magnetic poles is:

F = (μ₀ * m₁ * m₂) / (4π * r²)

Where:

F = Force between the poles (N)
μ₀ = Permeability of free space = 4π × 10⁻⁷ T·m/A
m₁ = Pole strength of the first pole (A·m)
m₂ = Pole strength of the second pole (A·m)
r = Distance between the poles (m)
Given:
F = 2 × 10⁷ N
r = 1 m
The first pole is an isolated unit north pole (m₁ = 1 A·m)
Medium is air, so μ₀ = 4π × 10⁻⁷ T·m/A
Step-by-step Calculation:
Rearrange the formula to solve for m₂:

m₂ = (F * 4π * r²) / (μ₀ * m₁)

Substituting the values:

m₂ = (2 × 10⁷ * 4π * (1)²) / (4π × 10⁻⁷ * 1)

Cancel 4π from numerator and denominator:

m₂ = (2 × 10⁷) / (10⁻⁷)

m₂ = 2 × 10¹⁴ A·m

Final Answer:
The pole strength of the magnetic pole is 2 × 10¹⁴ A·m.