Question: 1 -

What should be the value of laplace transform for the time-domain signal equation e^-at cos ωt.u(t)?

s + a / (s + a)² + ω² with ROC σ > - a

ω / (s + a) ² + ω² with ROC σ > - a

Aω / s² + ω² with ROC σ > 0

1 / s + a with ROC σ > - a

Answer:

s + a / (s + a)² + ω² with ROC σ > - a

Solution not available.

Question: 2 -

Unilateral Laplace Transform is applicable for the determination of linear constant coefficient differential equations with ________

Zero initial condition

 Zero final condition

Non-zero initial condition

Non-zero final condition

Answer:

Non-zero initial condition

Solution not available.

Question: 3 -

According to the time-shifting property of Laplace Transform,  shifting the signal in time domain corresponds to the ______

Multiplication by e^st0 in the frequency domain

Multiplication by e^-st0 in the time domain

Multiplication by e^st0 in the time domain

Multiplication by e^-st0 in the frequency domain

Answer:

Multiplication by e^-st0 in the frequency domain

Solution not available.

Question: 4 -

Which result is generated/ obtained by the addition of a step to a ramp function?

Ramp Function shifted by an amount equal to step

Step function of zero slope

Step Function shifted by an amount equal to ramp

Ramp function of zero slope

Answer:

Ramp Function shifted by an amount equal to step

Solution not available.

Question: 5 -

What should be location of poles corresponding to ROC for bilateral Inverse Laplace Transform especially for determining the nature of time domain signal?

None of the above

On L.H.S of ROC

On both sides of ROC

On R.H.S of ROC

Answer:

On both sides of ROC

Solution not available.