Unit4 Laplace Transform in network analysis and synthesis- Btech AKTU

Discussing some Important Questions in network analysis and synthesis Unit 4 Laplace Transform. I hope that these crucial questions will be useful to you in your next Btech AKTU exams.

Q.Write properties of Laplace transform

Ans.

Q. Discuss briefly singularity functions.

Ans

1. Singularity functions are particular forcing functions that are discontinuous or have derivatives that are discontinuous.

2. The commonly used singularity functions are:

• Step function
• Ramp function
• Impulse function

Unit step (Step function): Signals which start at time t = 0 and have

magnitudes of unity are called unit step signals.

They are represented by a unit step function u(t).

They are defined mathematically as:

Unit ramp (Ramp function) : Unit ramp signals are defined as signals that begin at zero and are linear in nature with a constant slope m.

They are represented by a unit ramp function r(t).

They are defined mathematically as:

Unit impulse (Impulse function) : Signals which act for very small time but have large amplitude are called unit impulse functions.

Q. Discuss step response of series RL network.

Ans.

Q. Discuss the step response of the series RLC network.

Ans. 1. Fig. 4.23.1 shows a network consisting of resistance (R), capacitance (C) and inductance (L) are connected in series.

2. It is provided with a switch as shown in Fig. 4.23.1. Initially switch was kept open. Switch was closed at t =0.

Q. Discuss the procedure for evaluating the initial condition

Ans.

Q. Find the partial fraction expansion for

Answer

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