1
GATE EE 2001
Subjective
+5
-0
In a $$dc$$ motor running at $$2000$$ $$rpm,$$ the hysteresis and eddy current losses are $$500$$ $$W$$ and $$200$$ $$W$$ respectively. If the flux remains constant, calculate the speed at which the total iron losses are halved.
2
GATE EE 2001
Subjective
+5
-0
A $$dc$$ series motor is rated $$230V,$$ $$1000$$ $$rpm,$$ $$80$$ $$A$$ (refer to Figure). The series field resistance is $$0.11\,\Omega ,$$ and the armature resistance is $$0.14\,\Omega .$$ If the flux at an armature current of $$20A$$ is $$0.4$$ times of that under rated condition, calculate the speed at this reduced armature current of $$20$$ $$A.$$ GATE EE 2001 Electrical Machines - D.C Machines Question 7 English
3
GATE EE 2001
Subjective
+5
-0
An ideal transformer has a linear $$B-H$$ characteristic with a finite slope and a turns ratio of $$1:1.$$ The primary of the transformer is energized with an ideal current source, producing the signal i as shown in figure. Sketch the shape (neglecting the scale factor) of the following signals, labeling the time axis clearly GATE EE 2001 Electrical Machines - Transformers Question 10 English

$$(a)$$ $$\,\,\,\,\,$$ the core flux $${\phi _{oc}}$$ with the secondary of the transformer open
$$(b)$$ $$\,\,\,\,\,$$ the open-circuited secondary terminal voltage $${V_2}\left( t \right).$$
$$(c)$$ $$\,\,\,\,\,$$ the short-circuited secondary current $${i_2}\left( t \right)$$
$$(d)$$ $$\,\,\,\,\,$$ the core flux $${\phi _{sc}},$$ with the secondary of the transformer short-circuited.

4
GATE EE 2001
MCQ (Single Correct Answer)
+2
-0.6
The electric field $$\overrightarrow E $$ (in volts/metre) at the point $$(1, 1, 0)$$ due to a point charge of $$+1$$ $$\mu C$$ located at $$\left( { - 1,\,1,\,1} \right)$$ (coordinates in metres) is
A
$${{{{10}^{ - 6}}} \over {20\sqrt 5 \pi {\varepsilon _0}}}\left( {2i - k} \right)$$
B
$${{{{10}^{ - 6}}} \over {20\pi {\varepsilon _0}}}\left( {2i - k} \right)$$
C
$${{ - {{10}^{ - 6}}} \over {20\sqrt 5 \pi {\varepsilon _0}}}\left( {2i - k} \right)$$
D
$${{ - {{10}^{ - 6}}} \over {20\pi {\varepsilon _0}}}\left( {2i - k} \right)$$
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