1
GATE ECE 2008
+2
-0.6
The value of the integral of the function $$\mathrm g\left(\mathrm x,\mathrm y\right)=4\mathrm x^3\;+\;10\mathrm y^4$$ along the straight line segment from the point (0, 0) to the point (1, 2) in the x-y plane is
A
33
B
35
C
40
D
56
2
GATE ECE 2003
+2
-0.6
If the electric field intensity is given by $$\mathrm E=\left(\mathrm x{\widehat{\mathrm u}}_\mathrm x\;+\mathrm y{\widehat{\mathrm u}}_\mathrm y+\mathrm z{\widehat{\mathrm u}}_\mathrm z\right)\;\mathrm{volt}/\mathrm m$$, the potential difference between X(2,0,0) and Y(1,2,3) is
A
+1 volt
B
-1 volt
C
+5 volt
D
+6 volt
3
GATE ECE 2001
+2
-0.6
A material has conductivity of 10-2 mho/m and a relative permittivity of 4. The frequency at which the conduction current in the medium is equal to the displacement current is
A
45 MHz
B
90 MHz
C
450 MHz
D
900 MHz
4
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

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