When the amplitude electric field increase from e to 3e, the intensity of the wave will increase by a factor of 9.
The relationship between intensity and amplitude of an electric field given as;
I ∝ E₀²
[tex]\frac{I_1}{E_1_0^2} = \frac{I_2}{E_2_0^2}\\\\I_2 = \frac{I_1E_2_0^2}{E_1_0^2}[/tex]
where;
[tex]I_2 = \frac{I_1 \times (3e)^2}{(e)^2} \\\\I_2 = 9I_1[/tex]
Thus, when the amplitude electric field increase from e to 3e, the intensity of the wave will increase by a factor of 9.
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