Respuesta :
Ans: Intensity = I = [tex]5.8 * 10^{-8} W/m^2 [/tex]
Explanation:
First you need to find out the speed of Electromagnetic wave:
Since
v = [tex] \sqrt{ \frac{1}{\mu\epsilon} } [/tex]
v = [tex]\sqrt{ \frac{1}{\mu_r\mu_ok\epsilon_o} } [/tex]
[tex]\mu_r = 5.18 \\ \mu_o = 4 \pi * 10^{-7} \\ k = 3.64 \\ \epsilon_o = 8.85 * 10^{-12} [/tex]
Plug in the values:
v = [tex]\sqrt{ \frac{1}{(5.18)(4\pi*10^{-7})(3.64)(8.85*10^{-12})} }[/tex]
v = [tex]6.9 * 10^7[/tex] m/s
Now that we have "v", we can use the following formula to find the intensity of wave:
[tex]I = \frac{k\epsilon_o*v*E_{max}^2}{2} [/tex]
[tex]I = \frac{(3.64)(8.85*10^{-12}) *(6.9*10^7)*(7.20*10^{-3})^2}{2} [/tex]
Intensity = I = [tex]5.8 * 10^{-8} W/m^2 [/tex]
Explanation:
First you need to find out the speed of Electromagnetic wave:
Since
v = [tex] \sqrt{ \frac{1}{\mu\epsilon} } [/tex]
v = [tex]\sqrt{ \frac{1}{\mu_r\mu_ok\epsilon_o} } [/tex]
[tex]\mu_r = 5.18 \\ \mu_o = 4 \pi * 10^{-7} \\ k = 3.64 \\ \epsilon_o = 8.85 * 10^{-12} [/tex]
Plug in the values:
v = [tex]\sqrt{ \frac{1}{(5.18)(4\pi*10^{-7})(3.64)(8.85*10^{-12})} }[/tex]
v = [tex]6.9 * 10^7[/tex] m/s
Now that we have "v", we can use the following formula to find the intensity of wave:
[tex]I = \frac{k\epsilon_o*v*E_{max}^2}{2} [/tex]
[tex]I = \frac{(3.64)(8.85*10^{-12}) *(6.9*10^7)*(7.20*10^{-3})^2}{2} [/tex]
Intensity = I = [tex]5.8 * 10^{-8} W/m^2 [/tex]
The intensity of the electromagnetic wave which travels in an insulating magnetic material in a medium is 5.766×10⁻⁸ W/m².
What is the intensity of the wave?
The intensity of a wave is the total power delivered per unit area. It can be given as,
[tex]I=\dfrac{P}{A}[/tex]
It can also be given as,
[tex]I=\dfrac{E^2}{2}\sqrt{\dfrac{k\varepsilon_o}{\mu_r\mu_o}}[/tex]
Here, ([tex]\mu_r[/tex]) is relative permeability, ([tex]\mu_0[/tex]) is physical constant, (k) is dielectric constant, (E) is the amplitude of electric field, and [tex]\varepsilon_o[/tex] is the permittivity of free space.
Here, the electromagnetic wave with frequency 65.0hz travels in an insulating magnetic material that has dielectric constant 3.64 and relative permeability 5.18 at this frequency.
As the electric field has amplitude 7.20×10−3v/m. Thus, put the values in the above formula to find the intensity as,
[tex]I=\dfrac{(7.20\times10^{-3})^2}{2}\sqrt{\dfrac{3.64\times8.85\times10^{-12}}{5.18\times(4\pi\times10^{-7})}}\\I=5.766\times10^{-8}\rm W/m^2[/tex]
Hence, the intensity of the electromagnetic wave which travels in an insulating magnetic material in a medium is 5.766×10⁻⁸ W/m².
Learn more about the intensity of the wave here;
https://brainly.com/question/18109453
