1
GATE EE 1996
+1
-0.3
The v - i characteristic as seen from the terminal pair (A,B) of the network of Fig.(1) is shown in Fig.(2). If an inductance of value 6 mH is connected across the terminal - pair (A,B), the time constant of the system will be
A
3 µ sec
B
12 sec
C
32 sec
D
unknown, unless the actual network is specified
2
GATE EE 1996
+1
-0.3
In the series $$RC$$ circuit shown in Fig. the voltage across $$C$$ starts increasing when the $$d.c.$$ source is switched on. The rate of increase of voltage across $$C$$ at the instant just after the switch is closed (i.e., at $$t = {0^ + }$$), will be
A
Zero
B
infinity
C
$$RC$$
D
$$1/RC$$
3
GATE EE 1996
+1
-0.3
In the circuit shown in Fig. $$X$$ $$-$$ is an element which always absorbs power. During a particular operation, it sets up a current of $$1$$ $$amp$$ in the direction shown and absorbs a power $${P_{x}}.$$ It is possible that $$X$$ can absorb the same power $${P_x}$$ for another current $$i.$$ Then the value of this current is
A
$$\left( {3 - \sqrt {14} } \right)\,\,amps$$
B
$$\left( {3 + \sqrt {14} } \right)\,\,amps$$
C
$$5$$ $$amps$$
D
None of these
4
GATE EE 1996
+2
-0.6
A coil (which can be modeled as a series $$RL$$ circuit) has been designed for high $$-$$ $$Q$$ performance at a rated voltage and a specified frequency. If the frequency of operation is doubled, and the coil is operated at the same rated voltage, then the $$Q$$$$-$$factor and the active power $$P$$ consumed by the coil will be affected as follows
A
$$P$$ is doubled, $$Q$$ is halved
B
$$P$$ is halved, $$Q$$ is doubled
C
$$P$$ remains constant, $$Q$$ is doubled
D
$$P$$ decreased $$4$$ times, $$Q$$ is doubled
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