A plane electromagnetic wave propagating in a non magnetic dielectric medium is given by $$E=E0sin$$[$$2$$×$$10$$−$$7x$$−$$50t$$], 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 $$E=E0sin$$[$$2$$×$$10$$−$$7x$$−$$50t$$], 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'$$=$$ω$$k=502$$×$$10$$−$$7C$$'$$=52$$×$$108m/s$$  and  $$C=3$$×$$108m/s$$ Using,  C'$$=Ck$$ ⇒$$52$$×$$108=3$$×$$108k$$ ⇒$$254=9k$$ ⇒$$k=1.44$$

A plane electromagnetic wave propagating in a non magnetic dielectric medium is given by $E = E_{0} \sin [2 \times 10^{- 7} x - 50 t]$ , 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

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A plane electromagnetic wave propagating in a non magnetic dielectric medium is given by E=E0sin[2×10−7x−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

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A plane electromagnetic wave propagating in a non magnetic dielectric medium is given by $E = E_{0} \sin [2 \times 10^{- 7} x - 50 t]$ , 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