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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:

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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.

This problem has been solved

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