1
GATE EE 2007
+2
-0.6
The resonant frequency for the given circuit will be
A
$$1$$ $$rad/s$$
B
$$2$$ $$rad/s$$
C
$$3$$ $$rad/s$$
D
$$4$$ $$rad/s$$
2
GATE EE 2006
+2
-0.6
The circuit shown in the figure is energized by a sinusoidal voltage source $${V_1}$$ at a frequency which causes resonance with a current of $${\rm I}$$.

The phasor diagram which is applicable to this circuit is

A
B
C
D
3
GATE EE 2005
+2
-0.6
The $$RL$$ circuit of the figure is fed from a constant magnitude, variable frequency sinusoidal voltage source $${V_{IN.}}$$ At $$100Hz,$$ the $$R$$ and $$L$$ elements each have a voltage drop $${u_{RMS}}.$$ If the frequency of the source is changed to $$50Hz,$$ then new voltage drop across $$R$$ is
A
$$\sqrt {{5 \over 8}} \,\,{u_{RMS}}$$
B
$$\sqrt {{2 \over 3}} \,\,{u_{RMS}}$$
C
$$\sqrt {{8 \over 5}} \,\,{u_{RMS}}$$
D
$$\sqrt {{3 \over 2}} \,\,{u_{RMS}}$$
4
GATE EE 2004
+2
-0.6
In Fig. the admittance values of the elements in Siemens are
$${Y_R} = 0.5 + j0,$$
$${Y_L} = 0 - j\,1.5,$$
$${Y_C} = 0 + j\,0.3$$ respectively.
The value of $${\rm I}$$ as a phasor when the voltage $$E$$ across the elements is $$10\angle {0^0}\,V$$ is
A
$$1.5 + j\,0.5$$
B
$$5 - j\,18$$
C
$$0.5 + j\,1.8$$
D
$$5 - j\,12$$
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