Two travelling sinosoidal electromagnetic waves, each with anintensity 5.0 W/m2 , interfere to form a standing wave. Theresulting electric field E⃗ (z,t) has nodes (i.e., is zero at alltimes) at z=…,−2a,−a,0,a,2a,… with a = 7.0 m , and satisifes E⃗(z,0)=0. Furthermore, the magnetic field B⃗ (z,t) is observed topoint along ±i^ everywhere. You may take c = 3.0×108 m/s and8.9×10−12 F/m .
Part A What is the wavelength λ 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.
