A very long thin wire produces a magnetic field of
At a distance of
From the wire.What is the magnitude of the current? (μ₀ = 4π × 10^-7 T ∙ m/A)

Question

A very long thin wire produces a magnetic field of At a distance of From the wire.What is the magnitude of the current? (μ₀ = 4π × 10^-7 T ∙ m/A)

Quizplus · Accepted Answer

The magnetic field produced by a long wire carrying current I at a distance r from the wire is given by:

B = μ0I/(2πr)

Where μ0 is the permeability of free space. Rearranging this equation to solve for I, we get:

I = 2πrB/μ0

Substituting the given values:

r = 0.011 m
B = 11 x 10^-7 T
μ0 = 4π x 10^-7 T∙m/A

I = 2π(0.011 m)(11 x 10^-7 T)/(4π x 10^-7 T∙m/A)
 
I ≈ 1.0 mA

Therefore, the correct choice is A) 1.0 mA.

A Very Long Thin Wire Produces a Magnetic Field of