Two plane polarized light waves combine at a certain point whose electric field components are

Find the amplitude of the resultant wave.
Text Solution
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To find the amplitude of the resultant wave for the given electric field components, we use the formula for the resultant amplitude of two combining waves. These components are:

The general formula for the amplitude
of two superimposed waves
and
with a phase difference is:

where
is the phase difference between the two waves. In this scenario,
.
Substituting the given expressions and phase difference into the formula, we get:

Given that
, this simplifies to:

Thus, the amplitude of the resultant wave is
.
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