1
GATE ECE 2016 Set 2
Numerical
+1
-0
Consider the time-varying vector $$I = \,\hat x\,\,15\,\cos \,(\omega \,t) + \,\hat y\,5\,sin(\omega \,t)$$ in Cartesian coordinates, where $$\omega$$ > 0 is a constant. When the vector magnitude $$\left| I \right|$$ is at its minimum value, the angle $$\theta$$ that I makes with the x axis (in degree, such that $$0\, \le \,0 \le \,180$$) is _________________
2
GATE ECE 2016 Set 1
Numerical
+1
-0
Concentric spherical shells of radii 2 m, 4 m, and 8 m carry uniform surface charge densities of 20 nC/m2 , −4 nC/m2 and ρs ,respectively. The value of ρs (nC/m2) required to ensure that the electric flux density $$\overrightarrow D=\overrightarrow0$$ at radius 10 m is _________.
3
GATE ECE 2015 Set 2
Numerical
+1
-0
In a source free region in vacuum, if the electrostatic potential $$\varphi\;=\;2x^2\;+y^2+cz^2$$ , the value of constant c must be ________________.
4
GATE ECE 2013
+1
-0.3
The divergence of the vector field $$\overrightarrow A\;=\;x{\widehat a}_x\;+\;y{\widehat a}_y\;+\;z{\widehat a}_z$$ is
A
$$0$$
B
1/3
C
1
D
3
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