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1 November, 06:46

A traveling sinusoidal electromagnetic wave in vacuum has an electric field amplitude of 91.1 V/m. Find the intensity of this wave and calculate the energy flowing during 17.1 s through an area of 0.0269 m2 that is perpendicular to the wave/'s direction of propagation.

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  1. 1 November, 07:13
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    intensity is 11.0145 W/m^2

    Energy is 5.07 J

    Explanation:

    Given data

    amplitude E = 91.1 V/m

    area = 0.0269 m2

    time t = 17.1 s

    to find out

    intensity and energy

    solution

    we know intensity formula that is given below

    intensity = E (rms) ² / (cμ0)

    here c is speed of light and μo is permeability of free space

    we know these constant value c = 2.99 x 10^8

    μo = 1.26 x 10^-6

    put all these value and we get intensity

    intensity = (91.1/√2) ² / (2.99 x 10^8 * 1.26 x 10^-6)

    intensity = 4149.605 / 3.7674 x 10^2

    intensity is 11.0145 W/m^2

    and Energy is calculated by this formula

    Energy = intensity * time * area

    put all value now here

    Energy = 11.0145 * 17.1 * 0.0269

    Energy is 5.07 J
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