1
GATE ECE 1999
MCQ (Single Correct Answer)
+1
-0.3
Identify which one of the following will NOT satisfy the wave equation.
A
$$50{e^{j\left( {\omega t - 3z} \right)}}$$
B
$$\sin \left[ {\omega \left( {10z + 5t} \right)} \right]$$
C
$$\cos \left( {{y^2} + 5t} \right)$$
D
$$\sin \left( x \right).\cos \left( t \right)$$
2
GATE ECE 1999
MCQ (Single Correct Answer)
+1
-0.3
Indicate which one of the following modes do NOT exist in a rectangular resonant cavity.
A
$$T{E_{110}}$$
B
$$T{E_{011}}$$
C
$$T{M_{110}}$$
D
$$T{M_{111}}$$
3
GATE ECE 1999
Subjective
+5
-0
A plane wave in free space with
$$\overrightarrow E = \left( {\sqrt \pi } \right)\left( {10.0\,\widehat x + 11.8\,\widehat y} \right)\exp \left[ {j\left( {4\pi \times {{10}^8}\,t - k\,z} \right)} \right]$$
where $$\widehat x$$ and $$\widehat y$$ are unit vectors in the $$x$$- and $$y$$-directions respectively is incident normally on a semi-infinite block of ice as shown in Fig. For ice, $$\mu = {\mu _0},\,\,\,\sigma = 0$$ and $$\varepsilon = 9{\varepsilon _0}\left( {1 - j0.001} \right)$$.

(a) Calculate the average power density associated with the incident wave.

(b) Calculate the skin depth in ice.

(c) Estimate the average power density at a distance of 5 times the skins depth in the ice block, measured from the interface.

GATE ECE 1999 Electromagnetics - Uniform Plane Waves Question 7 English
4
GATE ECE 1999
MCQ (Single Correct Answer)
+2
-0.6
A transmitting antenna radiates 251 W isotropically. A receiving antenna, located 100m away from the transmitting antenna, has an effective aperture of 500 cm2. The total power received by the antenna is
A
10 nW
B
1 $$\mu $$ W
C
20 $$\mu $$ W
D
100 $$\mu $$ W
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