2003

1. The minimum number of equations required to analyze the circuit shown in figure is

a) 3

b) 4

c) 6

d) 7

Solution:
https://www.youtube.com/watch?v=_E2r6haGMdw

2. A source of angular frequency 1 rad/sec has source impedance consisting of 1 Ω resistance in series with 1 H inductance. The load that will obtain the maximum power transfer is

a) 1 Ω resistance

b) 1 Ω resistance in parallel with 1 H inductance

c) 1 Ω resistance in series with 1 F capacitor

d) 1 Ω resistance in parallel with 1 F capacitor

Solution:
https://www.youtube.com/watch?v=UH5csZbXYgc

3. A series RLC circuit has a resonance frequency of 1 kHz and a quality factor Q = 100. If each R, L and C is doubled from its original value, the new Q-factor of the circuit is

a) 25

b) 50

c) 100

d) 200

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

4. The differential equation for the current i(t) in the circuit shown is

Solution:
https://www.youtube.com/watch?v=o3XhO6h9PhQ

5. Twelve 1Ω resistances are used to form a cube. The resistance between two diagonally opposite corners of the cube is

a) 5/6 Ω

b) 1/6 Ω

c) 6/5 Ω

d) 3/2 Ω

Solution:
https://www.youtube.com/watch?v=DRvJzaE6cqM

6. The current flowing through the resistance R in the circuit shown has the form Pcos4t, where p is

a) (0.18 + j0.72)

b) (0.46 + j1.90)

c) - (0.18 + j1.90)

d) - (0.192 + j0.144)

Answer:

Assume that the switch S is in position 1 for a long time and thrown to position 2 at t=0.

7. At t = 0

a) – V/2R

b) – V/R

c) – V/4R

d) Zero

8. I

Solution (7 & 8):
https://www.youtube.com/watch?v=IiAPEkdgqQQ

9. An input voltage v(t) = 10√2 cos(t+10

Solution:
https://www.youtube.com/watch?v=n5soJALqqaw

10. The impedance parameters Z

Solution:
https://www.youtube.com/watch?v=v16OcXXl_8E

1. The minimum number of equations required to analyze the circuit shown in figure is

a) 3

b) 4

c) 6

d) 7

2. A source of angular frequency 1 rad/sec has source impedance consisting of 1 Ω resistance in series with 1 H inductance. The load that will obtain the maximum power transfer is

a) 1 Ω resistance

b) 1 Ω resistance in parallel with 1 H inductance

c) 1 Ω resistance in series with 1 F capacitor

d) 1 Ω resistance in parallel with 1 F capacitor

3. A series RLC circuit has a resonance frequency of 1 kHz and a quality factor Q = 100. If each R, L and C is doubled from its original value, the new Q-factor of the circuit is

a) 25

b) 50

c) 100

d) 200

4. The differential equation for the current i(t) in the circuit shown is

5. Twelve 1Ω resistances are used to form a cube. The resistance between two diagonally opposite corners of the cube is

a) 5/6 Ω

b) 1/6 Ω

c) 6/5 Ω

d) 3/2 Ω

6. The current flowing through the resistance R in the circuit shown has the form Pcos4t, where p is

a) (0.18 + j0.72)

b) (0.46 + j1.90)

c) - (0.18 + j1.90)

d) - (0.192 + j0.144)

Answer:

**Data is insufficient as inductor values are not given in the figure.****Common circuit for Questions 7 & 8:**Assume that the switch S is in position 1 for a long time and thrown to position 2 at t=0.

7. At t = 0

^{+}, the current i_{1}isa) – V/2R

b) – V/R

c) – V/4R

d) Zero

8. I

_{1}(s) and I_{2}(s) are the Laplace Transforms of i_{1}(t) and i_{2}(t) respectively. The equations for the loop currents I_{1}(s) and I_{2}(s) for the same circuit shown, after the switch is brought from position 1 to position 2 at t = 0, are9. An input voltage v(t) = 10√2 cos(t+10

^{o})+ 10√3 cos(2t+10^{o}) volts is applied to a series combination of resistance R = 1Ω and an inductance L = 1H. The resulting steady state current i(t) in amperes is10. The impedance parameters Z

_{11}and Z_{12}of the two port network in figure are
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