# Magnetostatics · Electromagnetic Fields · GATE EE

Start Practice## Marks 1

GATE EE 2022

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 ...

GATE EE 2017 Set 2

The figures show diagrammatic representations of vector fields $$\overrightarrow X,\;\overrightarrow Y,\;and\;\overrightarrow Z$$
respectively.
Which ...

GATE EE 2017 Set 1

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 directio...

GATE EE 2015 Set 1

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 permeabil...

GATE EE 2013

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 val...

GATE EE 2006

Which of the following statements holds for the divergence of electric and magnetic flux densities?

GATE EE 2004

The inductance of a long solenoid of length $$1000$$ $$mm$$ wound uniformly with $$3000$$ turns on a cylindrical paper tube of $$60$$ $$mm$$ diameter ...

GATE EE 2003

Two conductors are carrying forward and return current of $$ + {\rm I}$$ and $$ - {\rm I}$$ as shown in Fig.
The magnetic field intensity $$\overrigh...

GATE EE 2000

An electron with velocity $$'u'$$ is placed in an electric field, $$E$$ and magnetic field, $$B.$$ The force experienced by the electron is given by

GATE EE 1999

Two parallel wires separated by a distance $$'d'$$ are carrying a current $$'{\rm I}'$$ in the same direction. The magnetic field along a line runnin...

GATE EE 1996

The energy stored in the magnetic field of solenoid $$30$$ $$cm$$ long and $$3$$ $$cm$$ diameter wound with $$1000$$ turns of wire carrying a current ...

GATE EE 1994

Static magnetic fields induce currents in closed conducting loops.

GATE EE 1993

The line integral of the vector potential A around the boundary of a surface S represents

## Marks 2

GATE EE 2024

The given equation represents a magnetic field strength $\bar{H}(r, \theta, \phi)$ in the spherical coordinate system, in free space. Here, $\hat{r}$ ...

GATE EE 2023

In the figure, the electric field E and the magnetic field B point to x and z directions, respectively, and have constant magnitudes. A positive charg...

GATE EE 2023

An infinite surface of linear current density $$K = 5{\widehat a_x}$$ A/m exists on the x-y plane, as shown in the figure. The magnitude of the magnet...

GATE EE 2022

If the magnetic field intensity ($$\overrightarrow H $$) in a conducting region is given by the expression, $$\overrightarrow H = {x^2}\widehat i + {...

GATE EE 2017 Set 1

The magnitude of magnetic flux density (B) in micro Teslas ( µT ) at the center of a loop of wire
wound as a regular hexagon of side length 1 m carryi...

GATE EE 2014 Set 2

The magnitude of magnetic flux density ($$\overrightarrow B$$)
at a point having normal distance d meters from
an infinitely extended wire carrying cu...

GATE EE 2014 Set 1

The following four vector fields are given in cartesian coordinate system. The vector field
which does not satisfy the property of magnetic flux densi...

GATE EE 2008

A coil of 300 turns is wound on a non-magnetic core having a mean circumference of 300 mm and a cross-sectional area of 300 mm2. The inductance the co...

GATE EE 2007

An inductor designed with $$400$$ turns coil wound on an iron core of $$16\,\,c{m^2}$$ cross sectional area and with a cut of an air gap length of $$1...

GATE EE 2007

An inductor designed with $$400$$ turns coil wound on an iron core of $$16\,\,c{m^2}$$ cross sectional area and with a cut of an air gap length of $$1...

GATE EE 2001

The conductors of a $$10$$ $$km$$ long, single phase, two wire line are separated by a distance of $$1.5$$ $$m.$$ The diameter of each conductor is $$...

## Marks 5

GATE EE 2002

The magnetic vector potential in a region is defined by $$\overrightarrow A = {e^{ - y}}\sin \left( x \right){\widehat a_z}.$$ An infinitely long co...

GATE EE 2000

A current $${\rm I}$$ in the short conducting element shown in Fig. produces a flux density $${B_1}$$ at point $$1.$$ Determine the magnitude and the...

GATE EE 1998

An electron moves in the $$X$$-$$Y$$ plane with a speed of $${10^6}\,\,m/s.$$ Its velocity vector makes an angle of $${60^ \circ }$$ with $$X$$ axis. ...

GATE EE 1997

A infinitely long straight wire carries $$1000$$ $$A$$ of current and in the vicinity, there is a circular conducting loop of $$100$$ $$mm$$ diameter...