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Homework Statement
Find [tex]\frac{V_o}{V_i}[/tex]
for
http://img685.imageshack.us/img685/8658/nodevoltage.png
Homework Equations
[tex]s=σ+jω[/tex], where σ=real component & jω=imaginary component
The Attempt at a Solution
Solution is
[tex]\frac{V_o}{V_i}=\frac{1}{s+2}[/tex]
Solution manual says:
[tex]\frac{V_o-V_i}{s}+\frac{V_o}{s}+V_o=0[/tex]
I don't know where that comes from. I don't understand why there are 2 s's
Shouldn't it be;
[tex]\frac{V_L-V_i}{R}+\frac{V_L-0}{Ls}+\frac{V_L-V_o}{R}=0[/tex]
where [tex]V_L=V_o[/tex]
so
[tex]\frac{V_o-V_i}{R}+\frac{V_o-0}{Ls}+\frac{V_o-V_o}{R}=0[/tex]
[tex]\frac{V_o-V_i}{R}+\frac{V_o-0}{Ls}=0[/tex]
That won't give me an s+2 in the denominator...
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