1
GATE EE 2015 Set 2
Numerical
+2
-0
A symmetrical square wave of 50% duty cycle has amplitude of ±15V and time period of 0.4$$\mathrm\pi$$ ms. This square wave is applied across a series RLC circuit with R = 5Ω, L = 10 mH, and C = 4μF. The amplitude of the 5000 rad/s component of the capacitor voltage (in Volt) is __________.
2
GATE EE 2015 Set 1
Numerical
+2
-0
The circuit shown in the figure has two sources connected in series. The instantaneous voltage of the AC source (in volt) is given by v(t) = 12sint. If the circuit is in steady-state, then the rms value of the current (in Ampere) flowing in the circuit is ______.
3
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;
4
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 _________.