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Need help with units from an inverse laplace transform

rscott
6-Contributor

Need help with units from an inverse laplace transform

So i had to do some work in laplace. I used matlab instead because mathcad couldnt figure out the answer. 

My matlab script does it no problem and returns the equation in this attached sheet. I have removed the numbers for simplicity. This is the time domain inverse laplace equation. 

 

The answer is correct. When i input the number i get what i expect. 

the problem is, i need this to be in mathcad to go with some other work.

When i add it to mathcad, it does not like the units. 

The sheet i have attached is just doing the math with the units to show where the problem is. Mathcad is upset because in a certain part of the equation its multiplying Volts by ohms 

This is just a fact of what the inverse laplace is. The answer of the equation should have units of seconds

 

I have no idea how to make this work. Im sure there is some trick to this. 

Can someone lend a hand?

1 ACCEPTED SOLUTION

Accepted Solutions

Cornel_1-1695131983519.png

 

Cornel_2-1695132002013.png

Cornel_3-1695132015576.png

 

Cornel_4-1695132023162.png

Cornel_6-1695132047904.png

 

 

Cornel_0-1695132245972.png

 

Cornel_5-1695132032810.png

 

Cornel_7-1695132062500.png

Cornel_8-1695132073181.png

 

Cornel_9-1695132156573.png

 

or

 

Cornel_2-1695132368978.png

Cornel_3-1695132378082.png

Cornel_4-1695132392948.png

 

View solution in original post

5 REPLIES 5

Cornel_1-1695131983519.png

 

Cornel_2-1695132002013.png

Cornel_3-1695132015576.png

 

Cornel_4-1695132023162.png

Cornel_6-1695132047904.png

 

 

Cornel_0-1695132245972.png

 

Cornel_5-1695132032810.png

 

Cornel_7-1695132062500.png

Cornel_8-1695132073181.png

 

Cornel_9-1695132156573.png

 

or

 

Cornel_2-1695132368978.png

Cornel_3-1695132378082.png

Cornel_4-1695132392948.png

 

rscott
6-Contributor
(To:Cornel)

thank you very much. Can you explain a little bit about what you did. I see you got it to work but i dont fully understand

 

it seems that your formula is missing something, an s (second), or maybe something like Hz:

 

Cornel_1-1695134624247.png

 

 

Cornel_0-1695134603071.png

 

rscott
6-Contributor
(To:Cornel)

I just multiplied the s as you did and it worked. Thank you very much. You literally just saved my entire day.

 

rgunwaldsen
15-Moonstone
(To:rscott)

Another look...

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