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An electromagnetic wave travelling along z-axis is given as  E=Eocos(kzwt)(-j^). Choose the wrong option from the following

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a
The associated magnetic field is given as  B→=1C(k^×E→)
b
The electromagnetic field can be written in terms of the associated magnetic field as  E→=C(B→×k^)
c
k^.E→=0 , k^.B→=0
d
k^×E→=0 , k^×B→=0

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detailed solution

Correct option is D

Suppose an electromagnetic wave is travelling along negative z-direction. Its electric field is given by E→=E→ocos(kz−wt)(-j^) which is perpendicular to  Z-axis. It acts along negative y-directionThe associated magnetic field  in electromagnetic wave is along positive x-axis, i.e, along (k^×E→). As  Bo=EoC  ∴B→=1C(k^×E→)So, option 1 is correctThe associated electric field can be written in terms of magnetic field as E→=C(B→×k^) . So, option 2 is correctAngle between k^ and E→ is 900 and between  k^ and  B→ is 900 . So option 3 is correct


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