1
GATE EE 2002
MCQ (Single Correct Answer)
+1
-0.3
Given a vector field $${\overrightarrow F ,}$$ the divergence theorem states that
A
$$\int\limits_s {\overrightarrow F .d\overrightarrow s = \int\limits_v \nabla .\overrightarrow F \,dv} $$
B
$$\int\limits_s {\overrightarrow F .d\overrightarrow s = \int\limits_v \nabla \times \overrightarrow F \,dv} $$
C
$$\int\limits_s {\overrightarrow F \times d\overrightarrow s = \int\limits_v \nabla .\overrightarrow F \,dv} $$
D
$$\int\limits_s {\overrightarrow F \times d\overrightarrow s = \int\limits_v \nabla \times \overrightarrow F \,dv} $$
2
GATE EE 2002
MCQ (Single Correct Answer)
+1
-0.3
Let $$Y(s)$$ be the Laplace transform of function $$y(t),$$ then the final value of the function is __________.
A
$$\mathop {Lim}\limits_{s \to 0} \,\,Y\left( s \right)$$
B
$$\mathop {Lim}\limits_{s \to \infty } \,\,Y\left( s \right)$$
C
$$\mathop {Lim}\limits_{s \to 0} \,s\,\,Y\left( s \right)$$
D
$$\mathop {Lim}\limits_{s \to \infty } \,s\,\,Y\left( s \right)$$
3
GATE EE 2002
MCQ (Single Correct Answer)
+1
-0.3
A six pulse thyristor rectifier bridge is connected to a balanced $$50Hz$$ three phase $$ac$$ source. Assuming that the $$dc$$ output current of the rectifier is constant, the lowest frequency harmonic component in the $$ac$$ source line current is
A
$$100$$ $$Hz$$
B
$$150$$ $$Hz$$
C
$$250$$ $$Hz$$
D
$$300$$ $$Hz$$
4
GATE EE 2002
MCQ (Single Correct Answer)
+2
-0.6
A three phase thyristor bridge rectifier is used in a $$HVDC$$ link. The firing angle $$\alpha $$ (as measured from the point of natural commutation) is constrained to lie between $${5^ \circ }$$ and $${30^ \circ }$$. If the $$dc$$ side current and $$ac$$ side voltage magnitude are constant, which of the following statements is true (neglect harmonics in the $$ac$$ side current and commutation overlap in your analysis)
A
Reactive power absorbed by the rectifier is maximum when $$\alpha = {5^ \circ }$$
B
Reactive power absorbed by the rectifier is maximum when $$\alpha = {30^ \circ }$$
C
Reactive power absorbed by the rectifier is maximum when $$\alpha = {15^ \circ }$$
D
Reactive power absorbed by the rectifier is maximum when $$\alpha = {15^ \circ }$$
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