1
GATE ECE 1993
Fill in the Blanks
+2
-0

Given,$$\overrightarrow V=x\cos^2y\;\;\widehat{\mathrm i}\;+\;\mathrm x^2\mathrm e^\mathrm z\;\widehat{\mathrm j}\;+\;\mathrm{zsin}^2\mathrm y\;\widehat{\mathrm k}$$ and S the surface of a unit cube with one corner at the origin and edges parallel to the coordinate axes, the value of the integral is

2
GATE ECE 1990
+2
-0.6
The incoming solar radiation at a place on the surface of the earth is 1.2 KW/m2.The amplitude of the electric field corresponding to this incident power is nearly equal to
A
80 mV/m
B
2.5 V/m
C
30 V/m
D
950 V/m
3
GATE ECE 1990
+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
$$\nabla \, \times \,\mathop H\limits^ \to = J$$
4
GATE ECE 1989
+2
-0.6
The electric field strength at a far-off point P due to a point charge + q, located at the origin O is 100 millivolts/metre. The point charge is now enclosed by a perfectly conducting hollow metal sphere with its centre at the origin O. The electric field strength at the point, P,
A
remains unchanged in its magnitude and direction
B
remains unchanged in its magnitude but reverse in direction
C
would be that due to a dipole formed by the charge + q at O and - q induced
D
would be zero
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