1
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
2
GATE ECE 2003
+2
-0.6
If the electric field intensity associated with a uniform plane electromagnetic wave traveling in a perfect dielectric medium is given by

$$E\left( {z,\,t} \right) = \,10\,\cos \left( {2\pi \times {{10}^7}\,\,t - 0.1\,\,\pi z} \right)\,$$ volt/m, the velocity of the traveling wave is

A
$$3.00 \times {10^8}\,\,$$ m/sec
B
$$2.00 \times {10^8}\,\,$$ m/sec
C
$$6.28 \times {10^7}\,\,$$ m/sec
D
$$2.00 \times {10^7}\,\,$$ m/sec
3
GATE ECE 2002
+2
-0.6
A plane wave is characterized by $$\overrightarrow E = \left( {0.5\mathop x\limits^ \cap + \mathop y\limits^ \cap \,{e^{j\pi /2}}} \right){e^{j\omega t - jkz}}.$$\$

This wave is

A
linearly polarized
B
circularly polarized
C
elliptically polarized
D
un polarized
4
GATE ECE 2002
+2
-0.6
Distilled water at $${25^ \circ }C$$ is characterized by $$\sigma = 1.7 \times {10^{ - 4}}$$ mho/m and $$\in = 78{ \in _0}$$ at a frequency of $$3 GHz$$. Its loss tangent $$\tan \delta$$ is
A
$$1.3 \times {10^{ - 5}}$$
B
$$1.3 \times {10^{ - 3}}$$
C
$$1.7 \times {10^{ - 4}}/78$$
D
$$1.7 \times {10^{ - 4}}\left( {78{ \in _0}} \right)$$
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