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9 June, 03:19

The electric field of a sinusoidal electromagnetic wave obeys the equation E=? (375V/m) sin[ (5.97*1015rad/s) t + (1.99*107rad/m) x]. Part B:What is the amplitude of the magnetic field of this wave? Part CWhat is the frequency of the wave? B = ? T

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  1. 9 June, 06:01
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    The equation of electric field is

    E = 375 Sin (5.97 x 10^15 t + 1.99 x 10^7 x)

    Compare with the standard equation

    E = Eo Sin (ωt + kx)

    (b) Amplitude of electric field, Eo = 375 V/m

    Amplitude of magnetic field, Bo = Eo / c = 375 / (3 x 10^8)

    Bo = 125 x 10^-8 Tesla

    Bo = 1.25 x 10^-6 Tesla

    (c) ω = 5.97 x 10^15 rad

    2 x 3.14 x f = 5.97 x 10^15

    f = 0.95 x 10^15 Hz

    f = 9.5 x 10^14 Hz
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