1
GATE EE 1992
Subjective
+5
-0
Figure depicts the load characteristics of an constant speed. Match the following sets of operating conditions with the given characteristics. Disregard the effects of saliency, saturation and stator resistance.

$$(a)$$ Constant excitation and non-zero leading power-factor
$$(b)$$ Constant excitation and zero power-factor, leading
$$(c)$$ Constant terminal voltage and zero power-factor, leading
$$(d)$$ Constant terminal voltage and non-zero leading power-factor

2
GATE EE 1992
+1
-0.3
Neglecting all losses, the developed torque $$(T)$$ of $$d.c.$$ separately excited motor, operating under constant terminal voltage, is related to its output power $$(P)$$ as under
A
$$T\,\, \propto \,\,\sqrt P$$
B
$$T\,\, \propto \,\,P$$
C
$${T^2}\,\, \propto \,\,{P^3}$$
D
$$T$$ independent of $$P$$
3
GATE EE 1992
Subjective
+5
-0
A separately excited $$d.c.$$ motor has an armature resistance of $$0.5$$ $$ohm.$$ It runs off a $$250$$ $$V$$ $$d.c.$$ supply drawing an armature current of $$20$$ $$A$$ at $$1,500$$ $$rpm.$$ The torque developed for an armature current of $$10$$ $$A$$ will be __________ for the same field current.
4
GATE EE 1992
+1
-0.3
Two transformers of the same type, using the same grade of iron and conductor materials, are designed to work at the same flux and current densities; but the linear dimensions of one are two times those of the other in all respects. The ratio of $$kVA$$ of the two transformers closely equals
A
$$16$$
B
$$8$$
C
$$4$$
D
$$2$$
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