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**1. Homework Statement**

two electric field vectors- E1= E0 cos (kz-wt) i(carat) and E2=E0 cos (kz+wt) i(carat) . what is the magnetic field vector corresponding to the the superposition of these 2 waves?

**2. Homework Equations**

**3. The Attempt at a Solution**

E=E1 + E2 = E0 [2cos{( kz-wt+kz+wt)/2}cos{(kz-wt-kz-wt)/2}]]

=E0[2coskz][cos wt]

here the new max amplitude is Emax=E0(2 coskz )

is this right?? this is a standing wave. then B0= Emax/c= E0(2coskz)/c

and the final equation for the magnetic field vector will be - B=B0(cos wt) because B and E are in phase in an em wave.