1
GATE ECE 1999
+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 1998
+1
-0.3
The Maxwell's equation $$\nabla\times\overrightarrow H\;=\;\overrightarrow J\;+\;\frac{\partial\overrightarrow D}{\partial t}$$ is based on
A
Ampere’s law
B
Gauss’ law
C
D
Coulomb’s law
3
GATE ECE 1998
+1
-0.3
A loop is rotating about the y-axis in a magnetic field $$\overrightarrow B\;=\;B_0\cos\left(\mathrm{ωt}\;+\;\mathrm\phi\;\right)\;{\overrightarrow a}_x\;\mathrm T .$$\$ The voltage in the loop is
A
zero
B
due to rotation only
C
due to transformer action only
D
due to both rotation and transformer action
4
GATE ECE 1998
+1
-0.3
The time averaged Poynting vector, in W/m2, for a wave with $$\vec E = 24{e^{j\left( {\omega t + \beta z} \right)}}{\mkern 1mu} {\overrightarrow a _y}$$ V/m in free space is
A
$$- {{2.4} \over \pi }\,{\overrightarrow a _z}$$
B
$${{2.4} \over \pi }\,{\overrightarrow a _z}$$
C
$${{4.8} \over \pi }\,{\overrightarrow a _z}$$
D
$$- {{4.8} \over \pi }\,{\overrightarrow a _z}$$
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