1
GATE ECE 1998
Subjective
+5
-0
A plane wave with $$\overrightarrow E = 10\,{e^{j\left( {\omega t - \beta z} \right)\,}}\,\,{\overrightarrow a _{_y}}$$ is incident normally on a thick plane conductor lying in the $$X - Y$$ plane. Its conductivity is $$6 \times {10^6}\,\,\,S/m\,\,\,$$ and surface impedance is $$5 \times {0^{ - 4}}\,\angle {45^0}\Omega $$. Determine the propagation constant and the skin depth in the conductor.
2
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
The time averaged Poynting vector, in W/m2, for a wave with $$\vec E = 24{e^{j\left( {\omega t + \beta z} \right)}}{\mkern 1mu} {\overrightarrow a _y}$$ V/m in free space is
A
$$ - {{2.4} \over \pi }\,{\overrightarrow a _z}$$
B
$${{2.4} \over \pi }\,{\overrightarrow a _z}$$
C
$${{4.8} \over \pi }\,{\overrightarrow a _z}$$
D
$$ - {{4.8} \over \pi }\,{\overrightarrow a _z}$$
3
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
The wavelength of a wave with propagation constant $$\left( {0.1\,\pi + j\,0.2\pi } \right){m^{ - 1}}$$ is
A
$${2 \over {\sqrt {0.05} }}\,m$$
B
$$10\,m$$
C
$$20\,m$$
D
$$30\,m$$
4
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
The depth of penetration of a wave in a lossy dielectric increases with increasing
A
conductivity
B
permeability
C
wavelength
D
permittivity