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4 December, 05:19

A strip of copper 190 µm thick and 4.20 mm wide is placed in a uniform magnetic field of magnitude B = 0.78 T, that is perpendicular to the strip. A current i = 32 A is then sent through the strip such that a Hall potential difference V appears across the width. Calculate V.

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  1. 4 December, 05:43
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    V = 9.682 * 10^ (-6) V

    Explanation:

    Given data

    thick = 190 µm

    wide = 4.20 mm

    magnitude B = 0.78 T

    current i = 32 A

    to find out

    Calculate V

    solution

    we know v formula that is

    V = magnitude * current / (no of charge carriers * thickness * e

    here we know that number of charge carriers/unit volume for copper = 8.47 x 10^28 electrons/m³

    so put all value we get

    V = magnitude * current / (no of charge carriers * thickness * e

    V = 0.78 * 32 / (8.47 x 10^28 * 190 * 1.602 x 10^ (-19)

    V = 9.682 * 10^ (-6) V
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