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Math equation solve issue

Jason_power
9-Granite

Math equation solve issue

Hi experts,

 

I am trying to use Mathcad to solve the equation based on Equations 4 and equation 6.

below equations are from this paper.

https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9913417

 

Jason_power_0-1665493458731.png

Jason_power_1-1665493466380.png

 

when I try to use that to solve the equation. Mathcad can't find the answer in equation 6. but it is OK to get the answer by using eqaution4.

I know equations 4 and 6 are different, but I don't understand why I can find it. but this paper can.

so I would like to know if my operation is wrong.

Jason_power_2-1665493583138.png

 

ps: the version of Mathcad is Mathcad 15

 

 

1 ACCEPTED SOLUTION

Accepted Solutions

it works also in MathCad v15

WalterSchrabmai_1-1665496416577.png

 

 

 

 

View solution in original post

5 REPLIES 5

Hi

In MathCAD Prime 3.1 it works fine

upload_-aW1hZ2UwMDEucG5n-7027513298708749583..png

it works also in MathCad v15

WalterSchrabmai_1-1665496416577.png

 

 

 

 

May I know where I was wrong?

I can't use the unit in my equation?

 

LucMeekes
23-Emerald III
(To:Jason_power)

You had defined Psi0 with a unit. There are two problems with that:

1. The argument of the exponential function must be unitless In order for that t must have the same unit as Psi0.

2. The symbolic processor of Mathcad doesn't know about units. At best it treats them as unknown variables.

You had defined Ig with a unit. The rhs of the second equation gets that same unit (because no unit elsewhere.), The lhs of the equation is a complex number without unit. That cannot be solved.

 

Success!
Luc

Got it, thanks.

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