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6 September, 03:37

Scientific work is currently underway to determine whether weak oscillating magnetic fields can affect human health. For example, one study found that drivers of trains had a higher incidence of blood cancer than other railway workers, possibly due to long exposure to mechanical devices in the train engine cab. Consider a magnetic field of magnitude 1.00 10-3 T, oscillating sinusoidally at 72.5 Hz. If the diameter of a red blood cell is 7.60 µm, determine the maximum emf that can be generated around the perimeter of a cell in this field.

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  1. 6 September, 06:53
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    Given Information:

    Magnetic field = B = 1*10⁻³ T

    Frequency = f = 72.5 Hz

    Diameter of cell = d = 7.60 µm = 7.60*10⁻⁶ m

    Required Information:

    Maximum Emf = ?

    Answer:

    Maximum Emf = 20.66*10⁻¹² volts

    Explanation:

    The maximum emf generated around the perimeter of a cell in a field is given by

    Emf = BAωcos (ωt)

    Where A is the area, B is the magnetic field and ω is frequency in rad/sec

    For maximum emf cos (ωt) = 1

    Emf = BAω

    Area is given by

    A = πr²

    A = π (d/2) ²

    A = π (7.60*10⁻⁶/2) ²

    A = 45.36*10⁻¹² m²

    We know that,

    ω = 2πf

    ω = 2π (72.5)

    ω = 455.53 rad/sec

    Finally, the emf is,

    Emf = BAω

    Emf = 1*10⁻³*45.36*10⁻¹²*455.53

    Emf = 20.66*10⁻¹² volts

    Therefore, the maximum emf generated around the perimeter of the cell is 20.66*10⁻¹² volts
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