1
GATE ECE 1987
MCQ (Single Correct Answer)
+2
-0.6
An electrostatic field is said to be conservative when
A
The divergence of the field is equal to zero.
B
The curl of the field is equal to zero.
C
The curl of the field is equal to $$ - {{\partial \,B} \over {\partial \,t}}$$.
D
The Laplacian of the field is equal to $$\mu \,\,\varepsilon {{{\partial ^2}\,E} \over {\partial \,{t^2}}}$$.
2
GATE ECE 1987
MCQ (Single Correct Answer)
+2
-0.6
Two long parallel wires in free space are separated by a distance R and carry currents of equal magnitude but opposite in direction. At any general point, the Z-component of GATE ECE 1987 Electromagnetics - Maxwell Equations Question 4 English
A
The magnetic vector potential is $${{{\mu _o}\,I} \over {4\,\pi }}\,\ell \,n\left( {{{{d_2}^2} \over {{d_1}^2}}} \right)$$
B
The magnetic induction is $${{{\mu _o}\,I} \over {2\,\pi }}\,\,\left( {{{{d_2}} \over {{d_1}}}} \right)$$
C
The magnetic induction is zero
D
The magnetic vector potential is $${{{\mu _o}\,I} \over {2\,\pi }}\,\,\left( {{{{d_2}^2} \over {{d_1}^2}}} \right)$$
3
GATE ECE 1987
Subjective
+8
-0
An electric field is given by $$\overrightarrow E = \overrightarrow a {}_x\,{\rm A}\,\,\sin \,\beta ySin\,\,\omega t$$ is present in a charge free medium infinite in extent

(a) Determine the associated magnetic field.
(b) What type of wave does the above field represent?

4
GATE ECE 1987
MCQ (More than One Correct Answer)
+2
-0.6
The cut-off frequency of a waveguide depends upon
A
The dimensions of the waveguide
B
The dielectric property of the medium in the waveguide
C
The characteristic impedance of the waveguide
D
The transverse and axial components of the fields
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