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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 2021
MCQ (Single Correct Answer)
+1
-0.33

Which one of the following vector functions represents a magnetic field $\vec{B}$ ? ( $\hat{x}, \hat{y}$, and $\hat{z}$ are unit vectors along $x$-axis, $y$-axis and $z$-axis respectively)

A

$10 x \hat{x}+20 y \hat{y}-30 z \hat{z}$

B

$10 y \hat{x}+20 x \hat{y}-10 z \hat{z}$

C

$10 z \hat{x}+20 y \hat{y}-30 x \hat{z}$

D

$10 x \hat{x}-30 z \hat{y}+20 y \hat{z}$

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 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 29 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
$$\nabla.\overrightarrow X\;=\;0,\;\nabla\times\overrightarrow Y\;=\;0,\;\nabla\times\overrightarrow Z\;=\;0$$
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