1
GATE EE 2022
+1
-0.33

If the magnetic field intensity ($$\overrightarrow H$$) in a conducting region is given by the expression, $$\overrightarrow H = {x^2}\widehat i + {x^2}{y^2}\widehat j + {x^2}{y^2}{z^2}\widehat k$$ A/m. The magnitude of the current density, in A/m2, at x = 1 m, y = 2 m and z = 1 m is

A
8
B
12
C
16
D
20
2
GATE EE 2017 Set 1
+1
-0.3
A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field direction. The magnetic field lines inside the cylinder will
A
bend closer to the cylinder axis
B
bend farther away from the axis
C
remain uniform as before
D
cease to exist inside the cylinder
3
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
$$\nabla.\overrightarrow X\;=\;0,\;\nabla\times\overrightarrow Y\;=\;0,\;\nabla\times\overrightarrow Z\;=\;0$$
4
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
$$\frac{-3\mu_0I}{4\mathrm{πL}}\widehat z$$
EXAM MAP
Medical
NEET