Poynting vectors $\to S$ is defined as a vector whose magnitude is equal to the wave intensity and whose direction is along the direction of wave propagation.
Mathematically, it is given by $\to S = \frac{1}{μ_{0}} (\to E \times \to B)$ .
Show the nature of $S v s t$ graph.

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Solution

Let the electric field is along y - direction,

$\to E = E_{0} sin (k z - ω t)^j$

And magnetic field is along z - direction.

$\to B = B_{0} sin (k z - ω t)^k$

So, the poynting vector is given by,

$\to S = \frac{1}{μ_{0}} (\to E \times \to B)$

$\to S = \frac{1}{μ_{0}} E_{0} B_{0} {sin}^{2} (k z - ω t)^i$

So, the variation of $S v s t$ can be shown as,

Final answer:

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E_{0} = 100 {V m}^{- 1}

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