Final answer:
The corresponding electric field phasor E for a given magnetic field phasor H in a dielectric medium with relative permittivity of 35 can be found using Maxwell's equations and the intrinsic impedance of the medium.
Step-by-step explanation:
The student is asking for the corresponding electric field phasor E when given the magnetic field phasor H for a uniform plane wave propagating in a dielectric medium with εᵣ = 35. Given H = 25( y + jz)e⁻ᵢπ/⁵ (mA/m), we can find E by using Maxwell's equations which relate the electric and magnetic fields in a medium. Specifically, the relation between E and H can be given by E = ηH, where η is the intrinsic impedance of the dielectric medium.
Intrinsic impedance is given by η = √(μ/ε), where μ is the permeability of the medium and ε is the permittivity of the medium. For dielectrics, μ is generally taken as μ₀, the permeability of free space. The permittivity ε can be expressed as εᵣε₀, where εᵣ is the relative permittivity and ε₀ is the permittivity of free space. Using these relations and the given relative permittivity, we can calculate η and subsequently find the phasor field E corresponding to the given H.