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31 October, 14:39

The magnetic field 0.02 m from a wire is 0.1 t. what is the magnitude of the magnetic field 0.01 m from the same wire?

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  1. 31 October, 16:02
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    The magnetic field is inversely proportional to the square of the distance from the wire. If we let k be the constant of proportionality, the equation for the magnetic field can be expressed as

    M = k/d²

    Using the first set of values

    0.1 t = k / (0.02) ²; k = 4x10⁻⁵

    Using this value for the next set,

    M = 4x10⁻⁵ / (0.01²)

    M = 0.4t

    Thus, the magnetic field 0.01 m away from the wire is equal to 0.4t.
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