1
GATE EE 2011
+1
-0.3
The voltage applied to a circuit is $$100\sqrt2\cos\left(100\mathrm{πt}\right)$$ volts and the circuit draws a current of $$10\sqrt2\;\sin\left(100\mathrm{πt}+\mathrm\pi/4\right)$$ amperes. Taking the voltage as the reference phasor, the phasor representation of the current in amperes is
A
$$10\sqrt2\;\angle-\mathrm\pi/4$$
B
$$10\;\angle-\mathrm\pi/4$$
C
$$10\;\angle+\mathrm\pi/4$$
D
$$10\sqrt2\;\angle+\mathrm\pi/4$$
2
GATE EE 2004
+1
-0.3
The value of $$Z$$ in Fig., which is most appropriate to cause parallel resonance at $$500$$ $$Hz$$ is
A
$$125.00$$ $$mH$$
B
$$304.20$$ $$\mu F$$
C
$$2.0\,\,\mu F$$
D
$$0.05\,\,\mu F$$
3
GATE EE 2001
+1
-0.3
In a series $$RLC$$ circuit at resonance, the magnitude of the voltage developed across the capacitor
A
is always zero
B
can never be greater than the input voltage
C
can be greater than the input voltage, however, it is $${90^ \circ }$$ out of phase with the input voltage
D
can be greater than the input voltage, and is in phase with the input voltage.
4
GATE EE 1999
+1
-0.3
A series $$R-L-C$$ circuit when excited by a $$10$$ $$V$$ sinusoidal voltage source of variable frequency, exhibits resonance at $$100$$ $$Hz$$ and has a $$3$$ $$dB$$ bandwidth of $$5$$ $$Hz.$$ The voltage across the inductor $$L$$ at resonace is

A
$$10$$ $$V$$
B
$$10\sqrt 2 V$$
C
$$10/\sqrt 2 V$$
D
$$200$$ $$V$$
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