1
GATE ECE 1990
Subjective
+10
-0
A 200 volt (r. m. s) generator having an internal resistance of 200 ohm is feeding a loss-less transmission line. The characteristic impedance and the length of the line are 200 ohm and 10 m respectively. The line is terminated in a resistive load of 100 ohm. If the operating frequency is 37.5 MHz calculate the
Current drawn from the generator.
Magnitude and phase of the current flowing in the load.
Power delivered to the load.
2
GATE ECE 1990
MCQ (Single Correct Answer)
+2
-0.6
Which of the following field equations indicate that the free magnetic charges do not exits?
A
$$\mathop H\limits^ \to = {1 \over \mu }\,\nabla \, \times \,A$$
B
$$\mathop H\limits^ \to = \oint {{{Id\,\ell \, \times \,R\,} \over {4\,\,\pi \,\,{R^2}}}} $$
C
$$\nabla \,.\,\mathop H\limits^ \to = 0$$
D
$$\nabla \, \times \,\mathop H\limits^ \to = J$$
3
GATE ECE 1990
MCQ (More than One Correct Answer)
+2
-0.6
Choose the correct statements.
For a wave propagating in an air filled rectangular wave guide
A
Guided wavelength is never less than the free space wavelength
B
Wave impedance is never less than the free space impedance.
C
Phase velocity is never less than the free space velocity
D
TEM mode is possible if the dimensions of the wave guide are properly chosen.
4
GATE ECE 1990
Subjective
+8
-0
A 300 MHz plane E.M. wave is propagating in free space. The wave is incident normally on an infinite copper slab. For the transmitted wave in the copper slab, calculate the following

(a) Attenuation constant
(b) Phase constant
(c) Skin depth
(d) Phase velocity and
(e) Group velocity

for copper assume the following values
Conductivity $$\sigma = 5.8 \times {10^7}$$ $$mho/m$$
Permeability $$\mu = 4\pi \times {10^{ - 7}}$$ $$H/m$$
Permeability $$\varepsilon = {1 \over {36\pi }} \times {10^{ - 9}}$$ $$F/m$$

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