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Question: complete simplification

Question:complete simplification

jrive 195 Maple 2019
radical substitution simplification
November 11 2020
2

How do I get Maple to simplify:

 

Io := I Cp Vin L1/(M sqrt(Cp L1))

 

to :  I sqrt(L1 CP) Vin/ M  ?

 

Furthermore, if  w = 1/sqrt(L1 *CP),  how do I get Maple to display the solution or the simplification as:

I*Vin/(w M) ?

I've t ried multiple substitutions and simplifications to no avail.

 

Thank you.

Jorge

 

I*Cp*RL*Vin*L1/(M*(Cp*L1)^(1/2))

 (4)
> 

simplify(I*Cp*RL*Vin*L1/(M*(L1*Cp)^(1/2)), 'symbolic')

I*Cp^(1/2)*RL*Vin*L1^(1/2)/M

 (5)

 

NULL

> 

Io := Vores/RL

I*Cp*Vin*L1/(M*(Cp*L1)^(1/2))

 (6)
> 

simplify(I*Cp*Vin*L1/(M*(L1*Cp)^(1/2)))

I*Cp*Vin*L1/(M*(Cp*L1)^(1/2))

 (7)
> 

simplify(I*Cp*Vin*L1/(M*(L1*Cp)^(1/2)), 'assume = real')

I*Cp*Vin*L1/(M*(Cp*L1)^(1/2))

 (8)
> 

combine(Vores/RL, power)

I*Cp*Vin*L1/(M*(Cp*L1)^(1/2))

 (9)
> 

factor(I*Cp*Vin*L1/(M*(L1*Cp)^(1/2)))

I*Cp*Vin*L1/(M*(Cp*L1)^(1/2))

 (10)
> 

combine(I*Cp*Vin*L1/(M*(L1*Cp)^(1/2)), radical)

I*Cp*Vin*L1/(M*(Cp*L1)^(1/2))

 (11)
> 

I*Cp*Vin*L1/(M*(L1*Cp)^(1/2))

cancel(I*Cp*Vin*L1/(M*(Cp*L1)^(1/2)))

 (12)
> 

simplify(cancel(I*Cp*Vin*L1/(M*(L1*Cp)^(1/2))), 'assume = real')

I*Cp*Vin*L1/(M*(Cp*L1)^(1/2))

 (13)
> 

simplify(I*Cp*Vin*L1/(M*(L1*Cp)^(1/2)), 'radical')

I*Cp*Vin*L1/(M*(Cp*L1)^(1/2))

 (14)
> 

simplify(I*Cp*Vin*L1/(M*(L1*Cp)^(1/2)), 'symbolic')

I*Cp^(1/2)*Vin*L1^(1/2)/M

 (15)
> 

``


 

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