### GATE 2015 ECE Network Theory - Complete Video Solutions with Answers

2015

1. In the network shown in the figure, all resistors are identical with R = 300 Ω. The resistance Rab (in Ω) of the network is __________________

2. In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in volts) across the capacitor is ____________________

3. In the circuit shown, the switch SW is thrown from position A to position B at time t=0. The energy (in µJ) taken from the 3 volts source to charge the 0.1 µF capacitor from 0 volts to 3 volts is

a) 0.3
b) 0.45
c) 0.9
d) 3

4. In the given circuit, the values of V1 and V2 (in volts) respectively are

a) 5, 25
b) 10, 30
c) 15, 35
d) 0, 20

5. In the circuit shown, switch SW is closed at t =0. Assuming zero initial conditions, the value of Vc(t) (in volts) at t = 1 sec is __________________

6. In the given circuit, the maximum power (in Watts) that can be transferred to the load RL is _______

7. In the circuit shown, the average value of the voltage Vab (in volts) in steady state condition is _________

8. The 2 – port Admittance matrix of the circuit shown is given by____________

9. The voltage (Vc) across the capacitor (in volts) in the network shown is ______________

10. An LC tank circuit consists of an ideal capacitor C connected in parallel with a coil of inductance L having an internal resistance R. The resonant frequency of the tank circuit is

11. In the circuit shown, the initial voltages across the capacitors C1 and C2 are 1 volt and 3 volts respectively. The switch is closed at time t = 0. The total energy dissipated (in Joules) in the resistor R until steady state is reached, is _______________

12. In the circuit shown, the Norton equivalent resistance (in Ω) across terminals a and b is ________

13. At High frequencies, the peak output voltage Vo (in volts) is __________

14. For the current shown in the figure, the Thevenin equivalent voltage (in volts) across terminals a and b is _______________

15. In the circuit shown, assume that diodes D1 and D2 are ideal. In the steady state condition, the average voltage Vab (in volts) across 0.5 µF capacitor is ____________

16. In the circuit shown, the voltage Vx (in volts) is __________

17. In the circuit shown, assume that the diodes D1 and D2 are ideal. The average voltage Vab (in volts) across terminals a and b is _____________

18. In the circuit shown, the current I flowing through the 50 Ω resistor will be zero, if the value of the capacitor C (in µF) is __________________

19. The ABCD parameters of the following 2 – port network are