he electromagnetic wave travels in a medium at a speed of 2.0 × 108m/s. The relative permeability of the medium is 1.0. The relative permittivity of the medium will be:
Question
he electromagnetic wave travels in a medium at a speed of 2.0 × 108m/s. The relative permeability of the medium is 1.0. The relative permittivity of the medium will be:
Solution
The speed of light in a medium is given by the equation:
c = 1/√(μr * εr)
where: c is the speed of light in the medium, μr is the relative permeability, and εr is the relative permittivity.
We can rearrange this equation to solve for εr:
εr = 1/(c^2 * μr)
Given that c = 2.0 × 10^8 m/s and μr = 1.0, we can substitute these values into the equation:
εr = 1/( (2.0 × 10^8)^2 * 1.0) = 1/(4.0 × 10^16) = 2.5 × 10^-17
So, the relative permittivity of the medium is 2.5 × 10^-17.
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