1
GATE EE 2017 Set 2
+1
-0.3
The figures show diagrammatic representations of vector fields $$\overrightarrow X,\;\overrightarrow Y,\;and\;\overrightarrow Z$$ respectively. Which one of the following choices is true?
A
$$\nabla.\overrightarrow X\;=\;0,\;\nabla\times\overrightarrow Y\;\neq\;0,\;\nabla\times\overrightarrow Z\;=\;0$$
B
$$\nabla.\overrightarrow X\;\neq\;0,\;\nabla\times\overrightarrow Y\;=\;0,\;\nabla\times\overrightarrow Z\;\neq\;0$$
C
$$\nabla.\overrightarrow X\;\neq\;0,\;\nabla\times\overrightarrow Y\;\neq\;0,\;\nabla\times\overrightarrow Z\;\neq\;0$$
D
$$\nabla.\overrightarrow X\;=\;0,\;\nabla\times\overrightarrow Y\;=\;0,\;\nabla\times\overrightarrow Z\;=\;0$$
2
GATE EE 2015 Set 1
+1
-0.3
A steady current I is flowing in the −x direction through each of two infinitely long wires at $$y=\pm\frac L2$$ as shown in the figure. The permeability of the medium is $$\mu_0$$. The $$\overrightarrow B$$ field at (0,L,0) is
A
$$\frac{-4\mu_0I}{3\mathrm{πL}}\widehat z$$
B
$$\frac{4\mu_0I}{3\mathrm{πL}}\widehat z$$
C
$$0$$
D
$$\frac{-3\mu_0I}{4\mathrm{πL}}\widehat z$$
3
GATE EE 2013
+1
-0.3
The flux density at a point in space is given by $$\overrightarrow B=\;4x{\widehat a}_x\;+\;2ky{\widehat a}_y\;+\;8{\widehat a}_z\;\;Wb/m^2$$. The value of constant k must be equal to
A
-2
B
-0.5
C
+0.5
D
+2
4
GATE EE 2006
+1
-0.3
Which of the following statements holds for the divergence of electric and magnetic flux densities?
A
Both are zero
B
These are zero for static densities but non zero for time varying densities
C
It is zero for the electric flux density
D
It is zero for the magnetic flux density
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