The electric component of an electromagnetic wave in SI units are given by Ex-102 sin - 9 - 1014 t-3 - 106z- Ey-0-Ez-0 find the inensity of this radiation-

The correct option is C 13.3 Wm^ 2 Intensity is given by, I = cϵ_∘E_rms Now, for sinusoidal wave, #160; E_rms = E_∘√(2) #160;Given: E_∘ ...

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Standard XII

Physics

Dimensional Analysis

The electric ...

Question

The electric component of an electromagnetic wave (in SI units) are given by
$E_{x} = 10^{2} s i n [π (9 \times 10^{14} t - 3 \times 10^{6} z)]$
$E_{y} = 0, E_{z} = 0$ find the inensity of this radiation.

13.3 W m^{- 2}

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0.133 W m^{- 2}

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1.33 W m^{- 2}

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13.3 \times 10^{- 12} W m^{- 2}

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Solution

The correct option is C $13.3 W m^{- 2}$
Intensity is given by, $I = c ϵ_{\circ} E_{r m s}$

Now, for sinusoidal wave,
$E_{r m s} = \frac{E_{\circ}}{\sqrt{2}}$

Given: $E_{\circ} = 10^{2}$

$∴ I = 3 \times 10^{8} \times 8.85 \times 10^{- 12} \times \frac{10^{4}}{2} = 13.3$ $W / m^{2}$

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The electric component of an electromagnetic wave (in SI units) are given byEx=102sin[π(9×1014t−3×106z)]Ey=0,Ez=0 find the inensity of this radiation.

The correct option is C 13.3Wm−2Intensity is given by, I=cϵ∘ErmsNow, for sinusoidal wave, Erms=E∘√2 Given: E∘=102∴I=3×108×8.85×10−12×1042=13.3 W/m2

The electric component of an electromagnetic wave (in SI units) are given by
$E_{x} = 10^{2} s i n [π (9 \times 10^{14} t - 3 \times 10^{6} z)]$
$E_{y} = 0, E_{z} = 0$ find the inensity of this radiation.

The correct option is C $13.3 W m^{- 2}$
Intensity is given by, $I = c ϵ_{\circ} E_{r m s}$

Now, for sinusoidal wave,
$E_{r m s} = \frac{E_{\circ}}{\sqrt{2}}$

Given: $E_{\circ} = 10^{2}$

$∴ I = 3 \times 10^{8} \times 8.85 \times 10^{- 12} \times \frac{10^{4}}{2} = 13.3$ $W / m^{2}$