The formula for finding wavelength from e_r and f is:
λ = c / (f * √(e_r))
Where λ is the wavelength, c is the speed of light in a vacuum (3x10^8 m/s), f is the frequency in Hz, and e_r is the relative permittivity of the medium.
The relative permittivity of a medium affects the wavelength of an electromagnetic wave by altering the speed at which the wave travels through the medium. This is because the wavelength is inversely proportional to the square root of the relative permittivity. A higher relative permittivity will result in a shorter wavelength, while a lower relative permittivity will result in a longer wavelength.
No, the wavelength of an electromagnetic wave cannot change within the same medium. The wavelength is determined by the properties of the medium and the frequency of the wave, and these do not change unless the medium or frequency change.
The frequency should be in Hz (Hertz) and the relative permittivity should be unitless. However, it is important to use consistent units throughout the formula to ensure accurate results.
No, the wavelength of an electromagnetic wave cannot be longer than the distance it travels. This is because the wavelength is directly related to the distance traveled by the wave. If the wavelength were longer than the distance, it would mean that the wave has traveled more than one full cycle, which is not possible.