1
GATE EE 2022
MCQ (Single Correct Answer)
+1
-0.33

A long conducting cylinder having a radius b is placed along the z-axis. The current density is $$\overrightarrow J = {J_a}{r^3}\widehat z$$ for the region r < b where r is the distance in the radial direction. The magnetic field intensity ($$\overrightarrow H $$) for the region inside the conductor (i.e., for r < b) is

A
$${{{J_a}} \over 4}{r^4}$$
B
$${{{J_a}} \over 3}{r^3}$$
C
$${{{J_a}} \over 5}{r^4}$$
D
$${J_a}{r^3}$$
2
GATE EE 2017 Set 2
MCQ (Single Correct Answer)
+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? GATE EE 2017 Set 2 Electromagnetic Fields - Magnetostatics Question 26 English
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
$$\nabla.\overrightarrow X\;=\;0,\;\nabla\times\overrightarrow Y\;=\;0,\;\nabla\times\overrightarrow Z\;=\;0$$
3
GATE EE 2017 Set 1
MCQ (Single Correct Answer)
+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
4
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+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 GATE EE 2015 Set 1 Electromagnetic Fields - Magnetostatics Question 24 English
A
$$\frac{-4\mu_0I}{3\mathrm{πL}}\widehat z$$
B
$$\frac{4\mu_0I}{3\mathrm{πL}}\widehat z$$
C
$$0$$
D
$$\frac{-3\mu_0I}{4\mathrm{πL}}\widehat z$$
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