Should be easy for me, but it is not! Could someone show the steps to put the following statement into form of s^2 +As +B?
s/(Rc*C) +s^2 +s/(C(L*s+RL))
Thanks in advance!
Hello, ncbill!
Your notation is confusing.
Please restate the problem clearly.
Could someone show the steps to put the following statement into form of s^2 +As +B?
. . s/(Rc*C) +s^2 +s/(C(L*s+RL))
You seem to use "*" for multiplication.
Then what does "Rc" mean?
. . Is that a subscript?.$\displaystyle R_c$
Does "RL" mean $\displaystyle R_L\,?$
You seem to have: .$\displaystyle \frac{s}{CR_c} + s^2 + \frac{s}{C(Ls + R_L)} $
Note that there is an $\displaystyle s$ in the denominator.
. . We can never get it into the form $\displaystyle s^2 + As + B.$
Wow! You folks are incredible. Thanks Soroban, your interpretation of my primitive notation is correct. I do not yet have the tools to typeset it so beautifully, not to mention that I lack the experience. You have validated my frustration in trying to force the expression into that quadratic form.
Now for an interesting twist...
Can it be done if "s" is a complex number?