1
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
The K-map for a Boolean function is shown in figure. The number of essential prime implicants for this function is GATE ECE 1998 Digital Circuits - Boolean Algebra Question 30 English
A
4
B
5
C
6
D
8
2
GATE ECE 1998
Subjective
+5
-0
The electric field vector of a wave is given as $$$\vec E = {E_0}{\mkern 1mu} {e^{j\left( {\omega t + 3x - 4y} \right)}}{\mkern 1mu} {{8{{\vec a}_x} + 6{{\vec a}_y} + 5{{\vec a}_z}} \over {\sqrt {125} }}\,\,V/m$$$

Its frequency is 10 GHz.

(i) Investigate if this wave is a plane wave.
(ii) Determine its propagation constant, and
(iii) Calculate the phase velocity in $$y$$-direction.

3
GATE ECE 1998
Subjective
+5
-0
The region between a pair of parallel perfectly conducting planes of infinite extent in the y and z directions is partially filled with a dielectric as shown in Figure. A 30 GHz $$T{E_{10}}$$ wave is incident on the air dielectric interface as shown. Find the VSWR at the interface. GATE ECE 1998 Electromagnetics - Waveguides Question 7 English
4
GATE ECE 1998
Subjective
+5
-0
A rectangular waveguide with inner dimensions 6 cm $$ \times $$ 3 cm has been designed for a single mode operation. Find the possible frequency range of operation such that the lowest frequency is 5% above the cut off and the highest frequency is 5% below the cut off of the next higher mode.
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