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Hybrid problem of MFra's two probrems.

ttokoro
20-Turquoise

Hybrid problem of MFra's two probrems.

I think this is the best probrem for electrical engneering students, original from MFra's post.
Try to solve by Mathcad or Prime 9 if you can. 

 

image.png

 

9 REPLIES 9
ttokoro
20-Turquoise
(To:ttokoro)

If the values of R and L is below, and the applied voltage is 1 Hz, you can find the answer.
But the conditions are as original ones, Can Prime and Maple solve it or not?

 

image.pngimage.pngimage.pngimage.png

ttokoro
20-Turquoise
(To:ttokoro)

Answer 1.   By using covolution integral for 1 Hz problem.

 

image.pngimage.pngimage.png     image.pngimage.png

-MFra-
21-Topaz II
(To:ttokoro)

Hi!
It would be more interesting to determine the response to this signal:

answer to Tokoro.jpg

 

ttokoro
20-Turquoise
(To:-MFra-)

The applied voltage waveforms are below and their current responces are made by convolution integral.

image.pngimage.png

ttokoro
20-Turquoise
(To:ttokoro)

Answer 2.   By using Laplace convertion for 1 Hz problem.

image.pngimage.pngimage.pngimage.pngimage.png

ttokoro
20-Turquoise
(To:ttokoro)

Answer 3. Use convolution to solve the 1 Hz response.

ttokoro_0-1680937553438.png

ttokoro_1-1680937679542.png

ttokoro_2-1680937694228.png

ttokoro_3-1680937715601.png

 

 

 

-MFra-
21-Topaz II
(To:ttokoro)

Congratulations on the results obtained.

ttokoro
20-Turquoise
(To:ttokoro)

Answer 4. By using Fourier analysys and Laplace transform for from DC to 20th harmonics. 
Below I and V are missed. i(t) is applied voltage and v(t) is transient current responce.

Because I used former RCRC sheet to solve.

image.pngimage.pngimage.pngimage.pngimage.pngimage.pngimage.pngimage.pngimage.pngimage.png

ttokoro
20-Turquoise
(To:ttokoro)

Answer 5. By using solve block.

image.pngimage.pngimage.png

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