1
GATE ECE 1993
MCQ (Single Correct Answer)
+2
-0.6
A material is described by the following electrical parameters at a frequency of $$10$$ GHz is $$\sigma = {10^6}$$ mho/m, $$\mu = {\mu _0},$$ and $$\in /{ \in _0} = 10.$$ The material at this frequency is considered to be $$\left( {{ \in _0} = {1 \over {36\,\,\pi }} \times {{10}^{ - 9}}\,\,F/m} \right)$$
A
a good conductor
B
a good dielectric
C
neither a good conductor nor a good dielectric
D
a good magnetic material
2
GATE ECE 1993
MCQ (More than One Correct Answer)
+2
-0.6
A plane wave is incident normally on a perfect conductor as shown in Fig. Here $$E_x^i,\,\,H_y^i$$ and $$\overrightarrow P {}^i$$ are electric field, magnetic field and Poynting vector respectively, for the incident wave. The reflected wave should have
A
$$E_x^r = - E_x^i$$
B
$$H_y^r = - H_y^i$$
C
$$\overrightarrow P {}^r = - \overrightarrow P {}^i$$
D
$$E_x^r = E_x^i$$
3
GATE ECE 1991
MCQ (More than One Correct Answer)
+2
-0.6
The electric field component of a uniform plane electromagnetic wave propagating in the $$Y$$-direction in a lossless medium will satisfy the equation
A
$${{{\partial ^2}{E_y}} \over {\partial \,{y^2}}} = \mu \in {{{\partial ^2}{E_y}} \over {\partial \,{t^2}}}$$
B
$${{{\partial ^2}{E_y}} \over {\partial \,{x^2}}} = \mu \in {{{\partial ^2}{E_y}} \over {\partial \,{t^2}}}$$
C
$${{{\partial ^2}{E_x}} \over {\partial \,{y^2}}} = \mu \in {{{\partial ^2}{E_x}} \over {\partial \,{t^2}}}$$
D
$${{\sqrt {E_x^2 + E_z^2} } \over {\sqrt {H_x^2 + H_z^2} }} = \sqrt {\mu / \in }$$
4
GATE ECE 1989
MCQ (Single Correct Answer)
+2
-0.6
The skin - depth of copper at a frequency of $$3 GHz$$ is $$1$$ micron ($${{{10}^{ - 6}}}$$ metre). At $$12 GHz$$, for a non - magnetic conductor whose conductivity is $$1/9$$ times that of copper, the skin $$-$$ depth would be
A
$$\sqrt {9 \times 4}$$ microns
B
$$\sqrt {9/4} \,\,$$ microns
C
$$\sqrt {4/9} \,\,$$ microns
D
$${1 \over {\sqrt {9 \times 4} }}\,$$ microns
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