The magnetic field at distance of 6r is determined as 0.067 T.
How to calculate the magnetic field at distance 6r?
The magnetic field at distance of 6r is calculated by applying the following formula for magnetic field.
B = μ₀I / 2πr
where;
- r is the distance from the wire
- I is the current
- μ₀ is permeability of free space
From the equation given above, we can see that the magnetic field is inversely proportional to the distance of the wire.
B ∝ 1/r
B₁r₁ = B₂r₂
B₂ = (B₁r₁) / r₂
Given that the first magnetic field = 0.4 T, and first position = r,
at the second position of the wire, r₂ = 0.6r, the magnetic field is calculated as;
B₂ = (0.4 T x r ) / 6r
B₂ = 0.067 T