What is the rms value of the electric field in a sinusoidal electromagnetic wave that has a maximum electric field of 64 V/m?
To find the root mean square (rms) value of the electric field in a sinusoidal electromagnetic wave, you need to know the maximum electric field amplitude. In this case, the maximum electric field is given as 64 V/m.
The rms value of the electric field can be calculated using the formula:
E_rms = E_max / sqrt(2)
where E_rms is the rms value of the electric field, E_max is the maximum electric field amplitude.
Plugging in the given value, we have:
E_rms = 64 V/m / sqrt(2)
To evaluate this, divide the maximum electric field amplitude value by the square root of 2. Using a calculator or simplifying the radical, you'll find:
E_rms ≈ 45.25 V/m
Therefore, the rms value of the electric field in the given sinusoidal electromagnetic wave is approximately 45.25 V/m.