1
GATE ECE 2006
+2
-0.6
When a plane wave traveling in free-space is incident normally on a medium having $${\varepsilon _r} = 4.0,$$ the fraction of power transmitted into the medium is given by
A
8/9
B
1/2
C
1/3
D
5/6
2
GATE ECE 2004
+2
-0.6
A plane electromagnetic wave propagating in free space in incident normally on a large slab of loss-less, non-magnetic, dielectric material with $$\varepsilon > {\varepsilon _0}$$. Maxima and minima are observed when the electric field is measured in front of the slab. The maximum electric field is found to be $$5$$ times the minimum field. The intrinsic impedance of the medium should be
A
$$120\,\pi \,\Omega$$
B
$$60\,\pi \,\Omega$$
C
$$600\,\pi \,\Omega$$
D
$$24\,\pi \,\Omega$$
3
GATE ECE 2003
+2
-0.6
A uniform plane wave traveling in air is incident on the plane boundary between air and another dielectric medium with $${\varepsilon _r} = 4$$. The reflection coefficient for the normal incidence, is
A
zero
B
$$0.5\angle {180^ \circ }$$
C
$$0.333\angle {0^ \circ }$$
D
$$0.333\angle {180^ \circ }$$
4
GATE ECE 2003
+2
-0.6
Medium $$1$$ has the electrical permittivity $${\varepsilon _1} = 1.5\,\,{\varepsilon _0}\,\,\,F/m$$ and occupies the region to left of $$x = 0$$ plane. Medium $$2$$ has the electrical permittivity $${\varepsilon _2} = 2.5\,\,{\varepsilon _0}\,\,\,F/m$$ and occupies the region to the right of $$x = 0$$ plane. If $${E_1}$$ in medium $$1$$ is $${E_1} = \left( {2\,{u_x} - 3\,{u_y} + 1\,{u_z}} \right)$$ volt/m, then $${E_2}$$ in medium $$2$$ is
A
$$\left( {2.0\,\,{u_x} - 7.5\,\,{u_y} + 2.5\,\,{u_z}} \right)\,$$ volt/m
B
$$\left( {2.0\,\,{u_x} - 2.0\,\,{u_y} + 0.6\,\,{u_z}} \right)\,$$ volt/m
C
$$\left( {1.2\,\,{u_x} - 3.0\,\,{u_y} + 1.0\,\,{u_z}} \right)\,$$ volt/m
D
$$\left( {1.2\,\,{u_x} - 2.0\,\,{u_y} + 0.6\,\,{u_z}} \right)\,$$ volt/m
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics
EXAM MAP
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