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Electromagnetic waves travel in a medium at a speed of `2.0xx10^8ms^-1`. The relative permitivity of the medium is 2.25. Find the relative permeability of the medium.

Text Solution

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Here, `v=2.0xx10^8ms^-1, in_r=2.25,`
Speed of electromagnetic wave in a medium is
`v=1/(sqrt(mu_e))=1/(sqrt(mu_0mu_r(in_0 in_r)))`
`=1/(sqrt(mu_0in_r))xx1/(sqrt(mu_rin_r)) [ :' c=1/(sqrt(mu_0in_0))]`
or `v^2=(c^2)/(mu_rin_r) or mu_r=(c^2)/(v^2in_r)`
`:. mu_r=((3xx10^8)^2)/((2xx10^8)^2xx2.25)=1.0`
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