A plane monochromatic radio wave (? = 0.3 m) travels in vacuum along the positive x-axis, with a time-averaged intensity I = 45.0 W/m2. Supp

Question

A plane monochromatic radio wave (? = 0.3 m) travels in vacuum along the positive x-axis, with a time-averaged intensity I = 45.0 W/m2. Suppose at time t = 0, the electric field at the origin is measured to be directed along the positive y-axis with a magnitude equal to its maximum value. What is Bz, the magnetic field at the origin, at time t = 1.5 ns? Bz = I got .04800 but that answer didnt work.

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7 months 2021-07-15T19:57:58+00:00 1 Answers 50 views 0

The magnetic field  Explanation:

From the question we are told that

The wavelength is The intensity is The time is Generally radiation intensity is mathematically represented as Where  c is the speed of light with a constant value of  is the electric field is the permittivity  of free space with a constant value of Making the subject of the formula we have Substituting values  Generally electric and magnetic field are related by the mathematical equation as follows Where is the magnetic field

making the subject Substituting values  Next is to obtain the wave number

Generally  the wave number is mathematically represented as Substituting values  Next is to obtain the frequency

Generally  the  frequency f is mathematically represented as Substituting values  Next is to obtain the angular velocity

Generally  the  angular velocity is mathematically represented as   Generally  the sinusoidal electromagnetic waves for the magnetic field B moving in the positive z direction is expressed as Since the magnetic field is induced at the origin then the equation above is reduced to x =0 because it is the origin we are considering

Substituting values  