The magnetic field at point P due to a 2.0-A current flowing in a long, straight, thin wire is 8.0 μT. How far is point P from the wire?

Question

The magnetic field at point P due to a 2.0-A current flowing in a long, straight, thin wire is 8.0 μT. How far is point P from the wire?

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Delwyn 5 years 2021-08-30T00:45:51+00:00 1 Answers 38 views 0

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  1. Euphemia
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    2021-08-30T00:47:28+00:00
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    Answer:

    r = 0.05 m = 5 cm

    Explanation:

    Applying ampere’s law to the wire, we get:

    B = \frac{\mu_oI}{2\pi r}\\\\r = \frac{\mu_oI}{2\pi B}

    where,

    r = distance of point P from wire = ?

    μ₀ = permeability of free space = 4π x 10⁻⁷ N/A²

    I = current = 2 A

    B = Magnetic Field = 8 μT = 8 x 10⁻⁶ T

    Therefore,

    r = \frac{(4\pi\ x\ 10^{-7}\ N/A^2)(2\ A)}{2\pi(8\ x\ 10^{-6}\ T)}\\\\

    r = 0.05 m = 5 cm

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