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Question

Physics Question on Electromagnetic waves

A plane of electromagnetic waves travels in a medium with a relative permeability of 1.61 and relative permittivity of 6.44. If the magnitude of magnetic intensity is 4.5 × 10–2 Am–1 at a point, what will be the approximate magnitude of electric field intensity?(Given: Permeability of free space μ0 = 4π × 10–7 NA–2, speed of light in vacuum c = 3 × 108 ms–1)

A

16.96 Vm–1

B

2.25 × 10–2 Vm–1

C

8.48 Vm–1

D

6.75 × 106 Vm–1

Answer

8.48 Vm–1

Explanation

Solution

H = 4.5 × 10–2
So B = μ0μ H
Thus
E=cn\frac{c}{n}B
(where n ⇒ refractive index)
So
E = 3×108×4π×107×1.61×4.5×1021.61×6.44\frac{3\times10^8\times4\pi\times10{-7}\times1.61\times4.5\times10^{-2}}{\sqrt{1.61\times6.44}}
E = 8.48
The correct option is (A): 16.96 Vm–1