The electric and magnetic fields for a TEM wave of frequency 14 GHz in a homogenous medium of relative permittivity ε r and relative permeability μ r = 1 are given by \overrightarrow{E}=E_P e^{j(\omega t-280 \pi y)} \stackrel{\^}{u}_z \frac{V}{m} and H=3 e^{j(\omega t-280 \pi y)} \stackrel{\^}{u}_x \frac{A}{m} Assuming the speed of light in free space to be 3 × 10 8 m/s, the intrinsic impedance of free space to be 120π, the relative permittivity ε r of the medium and the electric field amplitude E_{p} are

Correct Answer is : εr = 9, Ep = 120π

GATE Electronics and Communications (EC) 2011 Solved Paper

Question : 47 of 65

Marks: +1, -0

The electric and magnetic fields for a TEM wave of frequency 14 GHz in a homogenous medium of relative permittivity ε_r and relative permeability μ_r = 1 are given by

{E}↖{→}=E_P e^{j(ω t-280 π y)} {u}↖{\^}_z \;{V}/{m}

and

H=3 e^{j(ω t-280 π y)} {u}↖{\^}_x \;{A}/{m}

Assuming the speed of light in free space to be 3 × 10⁸ m/s, the intrinsic impedance of free space to be 120π, the relative permittivity ε_r of the medium and the electric field amplitude

E_{p}

are

ε_r = 3, E_p = 120π
ε_r = 3, E_p = 360π
ε_r = 9, E_p = 360π
ε_r = 9, E_p = 120π

Validate

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