1
GATE EE 2014 Set 3
+2
-0.6
A series RLC circuit is observed at two frequencies. At $$\omega_1$$ = 1k rad / s, we note that source voltage $$V_1=100\angle0^\circ V$$ results in a current $$I_1=0.03\angle31^\circ\;A$$. At $$\omega_2$$ = 2 k rad/s, the source voltage $$V_2=100\angle0^\circ\;V$$ results in a current $$I_2=2\angle0^\circ\;A$$. The closest values for R,L,C out of the following options are
A
R = 50W;L = 25mH;C =10μF;
B
R = 50W;L =10mH;C = 25μF;
C
R = 50W;L = 50mH;C = 5μF;
D
R = 50W;L = 5mH;C = 50μF;
2
GATE EE 2014 Set 2
Numerical
+2
-0
The total power dissipated in the circuit, show in the figure, is 1kW. The ideal voltmeter, across the load, reads 200 V. The value of XL is _________.
3
GATE EE 2014 Set 2
+2
-0.6
The voltage across the capacitor, as sown in the figure, is expressed as $$V_c\left(t\right)=A_1\sin\left(\omega_1t-\theta_1\right)+A_2\sin\left(\omega_2t-\theta_2\right)$$\$ The value of A1 and A2 respectively, are
A
2.0 and 1.98
B
2.0 and 4.20
C
2.5 and 3.50
D
5.0 and 6.40
4
GATE EE 2013
+2
-0.6
Two magnetically uncoupled inductive coils have Q factors q1 and q2 at the chosen operating frequency. Their respective resistances are R1 and R2 . When connected in series, their effective Q factor at the same operating frequency is
A
$$q_1R_1+q_2R_2$$
B
$$q_1/R_1+q_2/R_2$$
C
$$\left(q_1R_1+q_2R_2\right)/\left(R_1+R_2\right)$$
D
$$q_1R_2+q_2R_1$$
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