2004

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

Solution: https://www.youtube.com/watch?v=xjHxZjJq8PI

2. The equivalent inductance measured between the terminals 1 and 2 for the circuit shown in figure, is

a) L

b) L

c) L

d) L

Solution: https://www.youtube.com/watch?v=LwuHSGj_pqI

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

Solution: https://www.youtube.com/watch?v=pwwj_ZnIDqU

4. For the circuit shown, the time constant RC = 1 ms. The input voltage is v

Solution: https://www.youtube.com/watch?v=SEANHyPcKRk

5. For the R-L circuit shown, the input voltage v

Solution: https://www.youtube.com/watch?v=OFlCLWEvc2U

6. For the lattice circuit shown in figure, Z

Solution: https://www.youtube.com/watch?v=Vn-O5Ll3CwU

7. The circuit shown in figure has initial current i

Solution: https://www.youtube.com/watch?v=Xa5N6PQTPLs

8. Consider the following statements S1 and S2

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

Solution: https://www.youtube.com/watch?v=s3hM-idhg2s

2. The equivalent inductance measured between the terminals 1 and 2 for the circuit shown in figure, is

a) L

_{1}+ L_{2}+ Mb) L

_{1}+ L_{2}- Mc) L

_{1}+ L_{2}+ 2Md) L

_{1}+ L_{2}- 2M3. 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 v

_{i}(t) = √2 sin10^{3}t. The output voltage v_{o}(t) is equal to5. For the R-L circuit shown, the input voltage v

_{i}(t) = u(t). The current i(t) is6. For the lattice circuit shown in figure, Z

_{a}= j2Ω and Z_{b}= 2Ω. The values of the open circuit impedance parameters (Z-parameters) are7. The circuit shown in figure has initial current i

_{L}(0^{-}) = 1 A through the inductor and an initial voltage V_{c}(0^{-}) = - 1 volt across the capacitor. For input v(t) = u(t), the Laplace transform of the current i(t) for t ≥ 0 is8. 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