Question

a sinusoidal electromagnetic wave from a radio station passes perpendicularly through an open window that has area of 0.400 m2m2. at the window, the electric field of the wave has an rms value 0.0200 v/mv/m. part a how much energy does this wave carry through the window during a 30.0 ss commercial? express your answer with the appropriate units.

Answer 1

8.9 x 10⁻⁵ J energy this wave carries through the window during a 30.0 s commercial.

Area = 0.7 m²

electric field of wave = 0.0400 V/m

time = t =30 s

The intensity of an electromagnetic wave

I =$E_{0}^{2}$ /  μ20c

E0 ^2 = 2Erms^2

c is the speed of light

I = 2Erms^2 / 2μ0^2c

I = Erms^2 / μ0^2c

I = (0.04) ^2 / 4

π x 10 ^-7 x 3 x 10 ^8

I = 4.24 x 10⁻⁶ W/m²

the amount of energy required

E = I x A x t

E = 4.24 x 10⁻⁶ x 0.7 x 30

E = 8.9 x 10⁻⁵ J

Electromagnetic radiation includes electromagnetic waves, which are synchronized oscillations of electric and magnetic fields. Electromagnetic radiation or electromagnetic waves are created because of the periodic trade of the electric or magnetic area. relying on how this periodic change occurs and the power generated, one-of-a-kind wavelengths of the electromagnetic spectrum are produced. In a vacuum, electromagnetic waves journey at the rate of light typically denoted c.   

Electromagnetic waves of various frequencies are called with the aid of exclusive names seeing that they've exclusive sources and results on count number. in order of increasing frequency and reducing wavelength these are radio waves, microwaves, infrared radiation, seen mild, ultraviolet radiation, X-rays, and gamma rays.

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