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15 February, 17:29

An EM wave has a wavelength A 500 nm and a peak electric field Eo 100 i. The wave propagates along the z axis. a) What is the magnitude and direction of the magnetic field? b) What is the frequency f? c) What is the angular frequency w? d) What is the wavenmber k?

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  1. 15 February, 20:46
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    (a) 3.33 x 10^-7 T along Y axis

    (b) 6 x 10^14 Hz

    (c) 3.768 x 10^15 rad/s

    (d) 2 x 10^6 m^-1

    Explanation:

    Wavelength = 500 nm = 500 x 10^-9 m

    Electric Field, E = 100 i (along + X axis)

    Wave is in + Z axis

    So, the magnetic field is in + Y axis.

    (a) c = E / B

    B = E / c = 100 / (3 x 10^8) = 3.33 x 10^-7 T along Y axis

    (b) Frequency = wave speed / wavelength = (3 x 10^8) / (500 x 10^-9)

    frequency = 6 x 10^14 Hz

    (c) w = 2 x 3.14 x f = 2 x 3.14 x 6 x 10^14 = 3.768 x 10^15 rad/s

    (d) k = reciprocal of wavelength = 1 / (500 x 10^-9) = 2 x 10^6 m^-1
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