Exercise: Networks Analysis And Synthesis

Questions for: Networks Analysis And Synthesis

In the circuit shown, the steady state is reached with S open S is closed at t = 0, the current I in the 1 Ω resistor connected is to be determined at t = 0+ is given by
A:
1
B:
2
C:
3
D:
4/3
Answer: A

If steady is reached L will be short circuited the current in 1 Ω resistor I = 4/2 2A.

It will act as current source in parallel with inductor.

Now apply superposition theorem consider 4 volt source, current source will be open and inductor also open.

Current in R' = 1 Ω resistor = 2A.

When current source consider, voltage source will be short circuited and current due to inductor is 1A in opposite direction.

Total current 2 - 1 = 1 A.

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The circuit is figure, is in steady state with switch closed. At t = 0 switch is opened. The current i is
A:
B:
C:
D:
Answer: B

The initial current through inductance is

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A coil of resistance R and inductance L is connected in series with 10 mF capacitor. The resonant frequency is 1000 Hz. Another 10 F capacitor is connected in parallel with the above capacitor. The new resonance frequency will be
A:
1000 Hz
B:
more than 1000 Hz
C:
less than 1000 Hz
D:
may be more or less than 10000 Hz
Answer: C

Total capacitance increases and therefore ωr decreases.

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The Gaussian filter characteristic figure is realizable.
A:
True
B:
False
C:
D:
Answer: B

It is realizable because |log|H(jω)|| = ω2.

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In an R-L-C series circuit, R = 2/L/C . If R is doubled
A:
the response will become underdamped
B:
the response will become overdamped
C:
the response will be critically damped
D:
the response may be under damped or overdamped
Answer: B

Increase of resistance increases damping.

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