### GATE 2004 ECE Network Theory - Complete Video Solutions with Answers

2004
1. Consider the network graph shown in figure. Which one of the following is NOT a ‘tree’ of this group?

2. The equivalent inductance measured between the terminals 1 and 2 for the circuit shown in figure, is
a) L1 + L2 + M
b) L1 + L2 - M
c) L1 + L2 + 2M
d) L1 + L2 - 2M

3. The circuit shown in figure, has R = 1/3 Ω, L = 1/4 H, C = 3 F has input voltage v(t) = sin2t. The resulting current i(t) is

4. For the circuit shown, the time constant RC = 1 ms. The input voltage is vi(t) = √2 sin103t. The output voltage vo(t) is equal to

5. For the R-L circuit shown, the input voltage vi(t) = u(t). The current i(t) is

6. For the lattice circuit shown in figure, Za = j2Ω and Zb = 2Ω. The values of the open circuit impedance parameters (Z-parameters) are

7. The circuit shown in figure has initial current iL(0-) = 1 A through the inductor and an initial voltage Vc(0-) = - 1 volt across the capacitor. For input v(t) = u(t), the Laplace transform of the current i(t) for t ≥ 0 is

8. Consider the following statements S1 and S2
S1: at the resonant frequency, the impedance of a series RLC circuit is zero.
S2: In a parallel G-L-C circuit, increasing the conductance G results in increase in its Q-factor.
Which one of the following is correct?
a) S1 is FALSE and S2 is TRUE
b) Both S1 and S2 are TRUE
c) S1 is TRUE and S2 is FALSE
d) Both S1 and S2 are FALSE