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21 December, 08:28

Calculate the magnetic flux through your head when the B⃗ field of a 1.4-T MRI machine passes through your head. Assume the cross-sectional area of the head is 200 cm2. Express your answer in tesla meters squared.

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  1. 21 December, 11:43
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    The magnetic flux is 0.028 T. m²

    Explanation:

    Given;

    magnetic field strength, B = 1.4-T

    cross sectional area, A = 200 cm²

    Area in m² = 200 cm² x (1m/100cm) ²

    = 200 cm² x 1m²/10000cm²

    = 200 m² / 10000

    = 0.02 m²

    To determine the magnetic flux through your head when the magnetic field is 1.4-T, we apply magnetic flux equation below;

    Φ = BA

    Where;

    Φ is the magnetic flux

    B is the magnetic field

    A is area

    Φ = BA

    Φ = 1.4 x 0.02 = 0.028 T. m²

    Therefore, the magnetic flux through your head is 0.028 T. m².
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