1
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
2
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
3
GATE EE 2004
+1
-0.3
The inductance of a long solenoid of length $$1000$$ $$mm$$ wound uniformly with $$3000$$ turns on a cylindrical paper tube of $$60$$ $$mm$$ diameter is
A
$$3.2\,\,\mu H$$
B
$$3.2\,\,mH$$
C
$$32.0\,\,mH$$
D
$$3.2\,\,H$$
4
GATE EE 2003
+1
-0.3
Two conductors are carrying forward and return current of $$+ {\rm I}$$ and $$- {\rm I}$$ as shown in Fig.

The magnetic field intensity $$\overrightarrow H$$ at point $$P$$ is

A
$${{\rm I} \over {\pi d}}{\overrightarrow a _y}$$
B
$${{\rm I} \over {\pi d}}{\overrightarrow a _x}$$
C
$${{\rm I} \over {2\pi d}}{\overrightarrow a _y}$$
D
$${{\rm I} \over {2\pi d}}{\overrightarrow a _x}$$
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