Unit3:Fourier Series | network analysis and synthesis notes pdf

In this Blog, we are discussing Network Analysis and Synthesis notes pdf, Unit3:Fourier Series. All Important Questions with answers is there so enjoy that session for your upcoming exams.

Que 1.Discuss waveform symmetries.

|OR|

Define odd and even function. Also find Fourier coefficients for odd and even function.

Answer

1. Even symmetry:

A function f(t) is said to have even symmetry if f(t) =f(-t).

Even function shows even symmetry.

Even nature is preserved in addition to a constant.

Sum of even functions remains even.

Example:

4 Quarter wave symmetry: If signal has following both properties, it is said to have quarter wave symmetry:

i. It is half wave symmetric.

ii. It has symmetry (odd or even) about the quarter period point.

Que 2. Derive expression of effective values of fourier-series.

Ans.

Que 3. Derive the expression of Fourier transform from Fourier series.

Ans. 1. Exponential form of the Fourier series:

Que 4. What are the different properties of Fourier transform?

Ans.

Que 5. Discuss three-phase unbalanced circuits.

Answer

1. If the loads linked across the three phases have different magnitudes and power factors, or if they are not identical to one another, the three phase circuit is said to be out of balance.

2. The uneven loading of the phase currents in the star and the delta differs. Current travels through the neutral wire in an imbalanced star.

3.There are three cases of unbalanced loads :

i Unbalanced delta-connected load.

i Unbalanced four-wire star-connected load.

ii Unbalanced three-wire star-connected load.

Que 6. Discuss two wattmeter methods of power calculation in a three phase system.

Ans.

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