Number 12 gauge wire, commonly used in household wiring, is 2.053mm in diameter and can safely carry up to 20A. For a wire carrying the maxi

Question

Number 12 gauge wire, commonly used in household wiring, is 2.053mm in diameter and can safely carry up to 20A. For a wire carrying the maximum current, find the magnetic field strength:

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Phúc Điền 3 years 2021-09-05T06:58:19+00:00 1 Answers 1 views 0

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  1. Thunguyet
    0
    2021-09-05T06:59:20+00:00
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    Answer:

    The magnetic field strength is 3.9 x 10⁻³ T

    Explanation:

    The equation for the magnetic field strength produced by a long straight current-carrying wire is written as;

    B = \frac{\mu_o I }{2\pi r}

    Where;

    μ₀ is constant = 4π x 10⁻⁷ N/A

    I is the maximum current = 20 A

    r is the radius of the wire = 2.053/2 = 1.0265 mm = 1.0265 x 10⁻³ m

    Substitute in this values into the equation above;

    B = \frac{4 \pi X10^{-7} X 20}{2\pi X 1.0265X10^{-3} } \\\\B =3.9 X10^{-3} T

    Therefore, the magnetic field strength is 3.9 x 10⁻³ T

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