94.7k views
4 votes
In a plane radio wave the maximum value of the electric field component is 7.26 V/m. Calculate

(a) the maximun value of the magnetic feld component and
(b) the wave intensity.

User Gildniy
by
8.0k points

1 Answer

6 votes

Final answer:

The maximum value of the magnetic field component in the plane radio wave is approximately 2.42 x 10^-8 T. The wave intensity is approximately 8.97 x 10^-16 W/m^2.

Step-by-step explanation:

To calculate the maximum value of the magnetic field component in a plane radio wave, you can use the formula:

B = E / c

Where B is the maximum magnetic field component, E is the maximum electric field component, and c is the speed of light.

In this case, the maximum value of the electric field component is 7.26 V/m. Since the speed of light is approximately 3 x 10^8 m/s, the maximum value of the magnetic field component can be calculated as:

B = 7.26 V/m / (3 x 10^8 m/s) = 2.42 x 10^-8 T

Therefore, the maximum value of the magnetic field component is approximately 2.42 x 10^-8 T.

To calculate the wave intensity, you can use the formula:

I = (E^2) / (2c)

Where I is the wave intensity, E is the maximum electric field component, and c is the speed of light.

In this case, the maximum value of the electric field component is 7.26 V/m. Plugging this value into the formula gives:

I = (7.26 V/m)^2 / (2 x 3 x 10^8 m/s) = 8.97 x 10^-16 W/m^2

Therefore, the wave intensity is approximately 8.97 x 10^-16 W/m^2.

User Hari
by
8.0k points