Answer:
Brms = (2.205 × 10⁻⁷) T
Explanation:
The relationship between rms magnetic field and the intensity of the electromagnetic wave is given as
I = (Erms × Brms)/μ₀
where Erms = rms Electric field of the electromagnetic beam
Brms = rms magnetic field of the electromagnetic beam
μ₀ = magnetic constant = (4π × 10⁻⁷) H/m
But Erms is related to Brms through the relation
Erms = c × Brms
where c = speed of light = (3 × 10⁸) m/s
And the intensity of polarized light (I) is related to the initial intensity of polarized light (I₀), through the relationship
I = I₀ cos² θ
where θ = angle the transmission axis makes with respect to the direction of polarization = 22.0°
I₀ = initial intensity of unpolarized light = 13.5 W/m²
I = (Erms × Brms)/μ₀ becomes
I₀ cos² θ = (c × Brms²)/μ₀
Brms² = (μ₀ × I₀ cos² θ)/c
Brms² = (4π × 10⁻⁷ × 13.5 × cos² 22°)/(3 × 10⁸)
Brms² = 4.861 × 10⁻¹⁴
Brms = 0.0000002205 = (2.205 × 10⁻⁷) T
Hope this Helps!!!
