Two travelling sinosoidal electromagnetic waves, each with an intensity 5.0 W/m2 ï»¿, interfere to form a...

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Physics

Two travelling sinosoidal electromagnetic waves, each with anintensity 5.0 W/m2 , interfere to form a standing wave. Theresulting electric field Eâƒ— (z,t) has nodes (i.e., is zero at alltimes) at z=â€¦,âˆ’2a,âˆ’a,0,a,2a,â€¦ with a = 7.0 m , and satisifes Eâƒ—(z,0)=0. Furthermore, the magnetic field Bâƒ— (z,t) is observed topoint along Â±i^ everywhere. You may take c = 3.0Ã—108 m/s and8.9Ã—10âˆ’12 F/m .
Part A What is the wavelength Î» of the two constituenttravelling waves? Express your answer in units of meters.
Part B When will the electric field be zero everywhere for thefirst time after t=0? Express your answer in units of ns
. Part C When will the magnetic field be zero everywhere for thefirst time after t=0? Express your answer in units of ns.
Part D What is the amplitude (maximum magnitude) of the electricfield for the standing wave? Express your answer in units ofV/m.
Part E How far from the origin is the nearest point where theamplitude of the (instantaneous) Poynting vector is maximum?Express your answer in units of meters.

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4.2 Ratings (754 Votes)

Part ADistance between successive node Half of wavelengthSince distance between successive node 7 m wavelength 14 mPart Bfrequency f c where c 3 108 m s is See Answer

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