1
GATE ECE 1995
+1
-0.3
In the infinite plane, y = 6 m, there exists a uniform surface charge density of (1/6000$$\pi$$) $$\mu$$C/m2. The associated electric field strength is:
A
$$30\,\widehat i\,$$ V/m
B
$$3\,\widehat j\,$$ V/m
C
$$30\,\widehat k\,$$ V/m
D
$$60\,\widehat j\,$$ V/m
2
GATE ECE 1995
Subjective
+5
-0
A rectangular hollow metal waveguide is required to be so designed to propagate a 9375 MHz signal in its $$T{E_{10}}$$-mode that the guide-wavelength equals the cut-off wavelength. Calculate the value of 'a' (breadth or the wider dimension of the waveguide). Take b = a/2. Also, calculate the cut-off frequency of the next higher order mode.
3
GATE ECE 1995
+1
-0.3
An antenna when radiating, has a highly directional radiation pattern. When the antenna is receiving its radiation pattern
A
is more directive
B
is less directive
C
is the same
D
exhibits no directivity at all
4
GATE ECE 1995
Subjective
+5
-0
Two dipoles are so fed and oriented in free space that they produce the following electromagnetic waves: $${E_x} = 10\,{e^{j\left( {\omega t - z\pi /3} \right)}}\,\,volts/metre$$$$${E_y} = j\,\,10\,{e^{j\left( {\omega t - z\pi /3} \right)}}\,\,volts/metre$$$

(a) Write down the expression for the corresponding magnetic field strength vector.
(b) Calculate the frequency of the wave.
(C) Give the complete description of the polarization of the wave.

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