Hi,
I have
RL,Rs,C,L,Q,wo=var('RL Rs C L Q wo')
then I say
eq1=wo==Q*(C*RL*Rs+L)/(C*L*RL)
eq2=wo==sqrt((RL+Rs)/(C*L*RL))
solve([eq1,eq2,C,L)
I would like to solve the above system in terms of C and L. How do I do this?
Hint: please avoid 'sqrt' within equations.
eq1=wo==Q*(C*RL*Rs+L)/(C*L*RL)
eq2=wo^2==(RL+Rs)/(C*L*RL)
sol=solve([eq1,eq2],C,L)
print sol
[
[C == -2*(Q*RL + Q*Rs)/(sqrt(-4*Q^2*Rs + RL + Rs)*sqrt(RL + Rs)*RL*wo - RL^2*wo - RL*Rs*wo),
L == 1/2*(RL + Rs - sqrt(-4*Q^2*Rs^2 - 2*(2*Q^2*Rs - Rs)*RL + RL^2 + Rs^2))/(Q*wo)],
[C == 2*(Q*RL + Q*Rs)/(sqrt(-4*Q^2*Rs + RL + Rs)*sqrt(RL + Rs)*RL*wo + RL^2*wo + RL*Rs*wo),
L == 1/2*(RL + Rs + sqrt(-4*Q^2*Rs^2 - 2*(2*Q^2*Rs - Rs)*RL + RL^2 + Rs^2))/(Q*wo)]
]
Asked: 2015-03-07 02:19:31 +0100
Seen: 650 times
Last updated: Mar 07 '15
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