A periodic function consists of rising and decaying exponentials of time constants of

Chapter 15, Problem P15.5-7

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QUESTION:

A periodic function consists of rising and decaying exponentials of time constants of 0.2 s each and durations of 1 s each as shown in Figure 15.5-7. Determine the exponential Fourier series for this function.

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QUESTION:

A periodic function consists of rising and decaying exponentials of time constants of 0.2 s each and durations of 1 s each as shown in Figure 15.5-7. Determine the exponential Fourier series for this function.

ANSWER:

Step 1 of 4

Given function can be represented as :

from  0 s to 1 s:

          

         

And from 1s to 2s:

       

Equation for exponential Fourier series is:

         

 

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