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An electromagnetic wave is propagating through a uniform medium. The amplitude of the electric field is 120 V/m and the amplitude of the magnetic field intensity is 2 A/m . If the dielectric constant of the medium is 8 , what is the magnetic susceptibility of the medium? (Given: ₀ ₀ = 120 , )

Options

  1. A2
  2. B1
  3. C3
  4. D31

Correct answer

B. 1

Step-by-step solution

The intrinsic impedance of the medium is given by the ratio of the amplitude of the electric field to the amplitude of the magnetic field intensity: = E₀ H₀ Substituting the given values: = 120 2 = 60 , The intrinsic impedance is also related to the permeability and permittivity of the medium by: = = ₀ _r ₀ _r = ₀ ₀ _r _r Given ₀ ₀ = 120 , and _r = 8 , we get: 60 = 120 _r 8 1 2 = _r 8 Squaring both sides: 1 4 = _r 8 _r = 2 The magnetic susceptibility _m is related to the relative permeability _r by: _m = _r - 1 _m

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