Final answer:
To determine the maximum electric field in an electromagnetic wave, given its intensity, we use the relation between intensity and electric field in a vacuum. After calculating, using the provided values for the speed of light and the magnetic permeability of free space, we can find the maximum electric field strength for the wave.
Step-by-step explanation:
The student asked about the maximum value of the electric field in an electromagnetic wave, given its intensity. The intensity (I) of an electromagnetic wave is related to the maximum electric field (Emax) and the maximum magnetic field (Bmax) by the following formula:
I = c · Bmax2 / μ0 = Emax2 / (c · μ0)
Here, c is the speed of light in a vacuum and μ0 is the magnetic permeability of free space. Reordering the equation to solve for Emax, we have:
Emax = √(c · μ0 · I)
The value of the magnetic permeability of free space (μ0) is approximately 4π x 10-7 N/A2. Substituting the given intensity (I = 7.75 W/m2) and the speed of light (c = 2.9979 x 108 m/s) into the equation, we can calculate the maximum electric field strength.
Emax = √((2.9979 x 108 m/s) · (4π x 10-7 N/A2) · (7.75 W/m2))
After performing the calculation, the maximum electric field strength (Emax) can be found. This is the answer that the student is seeking for their schoolwork question.