A plane electromagnetic wave propagating in a $$non-magnetic$$ dielectric medium is given by $$E=E0sin$$[$$4$$×$$10$$−$$7x$$−$$50t$$].Where 'x' is in meter and 't' is in second. If the relative permeability of the medium, μ$$r=1$$ then the dielectric constant of the medium is

Question

A plane electromagnetic wave propagating in a $$non-magnetic$$ dielectric medium is given by  $$E=E0sin$$[$$4$$×$$10$$−$$7x$$−$$50t$$].Where 'x' is in meter and 't' is in second. If the relative permeability of the medium, μ$$r=1$$ then the dielectric constant of the medium is

Infinity Learn · Accepted Answer

Speed of electromagnetic wave in Vacuum is  $$C=1$$μ$$0$$∈$$0Speed$$ of electromagnetic wave in a dielectric medium of dielectric constant (k) is given by  C'$$=1k$$μ$$0$$∈$$0=CkFrom$$ given equation  C'$$=angular$$ velocitywave $$number=504$$×$$10$$−$$7=54$$×$$108m/sAnd$$ $$C=3$$×$$108m/s$$ Using, C'$$=Ck$$⇒$$54$$×$$108=3$$×$$108k$$                       ⇒ $$2516=9k$$ ⇒$$k=9$$×$$1625=5.76$$

A plane electromagnetic wave propagating in a non-magnetic dielectric medium is given by $E = E_{0} \sin [4 \times 10^{- 7} x - 50 t]$ .Where $' x'$ is in meter and $' t'$ is in second. If the relative permeability of the medium, $μ_{r} = 1$ then the dielectric constant of the medium is

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A plane electromagnetic wave propagating in a non-magnetic dielectric medium is given by E=E0sin[4×10−7x−50t].Where 'x' is in meter and 't' is in second. If the relative permeability of the medium, μr=1 then the dielectric constant of the medium is

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Ready to Test Your Skills?

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A plane electromagnetic wave propagating in a non-magnetic dielectric medium is given by $E = E_{0} \sin [4 \times 10^{- 7} x - 50 t]$ .Where $' x'$ is in meter and $' t'$ is in second. If the relative permeability of the medium, $μ_{r} = 1$ then the dielectric constant of the medium is