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Question: Working with units and piecewise functions?

Question:Working with units and piecewise functions?

WhiteNoise 35 Maple 2022
integration piecewise units
October 30 2022
1

Hello,

I use Maple and Maple Flow and want to work with physical units. However, I am quickly reaching the limits of what is possible. Now the question: Would it be possible to work with units and the piecewise function? In the attached example, the integration of a defined function is no longer possible. Or should I proceed differently in principle? Many thanks for any advice

Clemens

> 

restart

 

Definition of current functions

> 

"`i__1`(t):={[[0&lobrk;A&robrk;,t<0.01&lobrk;s&robrk;],[3&lobrk;A&robrk;*cos((2*Pi*t)/(T)),t>=0.01&lobrk;s&robrk;]]:"
> 

"`i__2`(t):=3&lobrk;A&robrk;*cos((2*Pi*t)/(T)):"
> 

"`i__3`(t):={[[0,t<0.01],[3*cos((2*Pi*t)/(`T__3`)),t>=0.01]]:"
> 

T := 0.2e-1*Unit('s')
> 

plot([i__1(t), i__2(t)], t = 0 .. .1*Unit('s'), color = [blue, red], legend = [i__1, i__2])

 

Calculation of RMS values

> 

RMS__1 := sqrt((int(i__1(t)^2, t = 0 .. T))/T)

Error, (in Tools:-IntegrateExpression) units problem, can't make expression piecewise(t < .1e-1*Units:-Unit(s),0,.1e-1*Units:-Unit(s) <= t,3*Units:-Unit(A)*cos(314.1592654*t/Units:-Unit(s)))^2 unit-free with units [t::Units:-Unit(s)]

  
> 

RMS__2 := sqrt((int(i__2(t)^2, t = 0 .. T))/T)

2.121320344*(Units:-Unit(A^2*s)/Units:-Unit(s))^(1/2)

 (1)

and now without Units

> 

T__3 := 0.2e-1
> 

RMS__3 := sqrt((int(i__3(t)^2, t = 0 .. T__3))/T__3)

1.500000000

 (2)

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