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richyw
RC and RL low pass filters?
I'm working on the attached question and a little bit confused on what to do?
all I did was this for the RC \[\frac{v_0}{v_i}=\frac{Z_C}{Z_R+Z_C}\]\[\frac{v_0}{v_i}=\frac{-j\frac{1}{\omega C}}{R-j\frac{1}{\omega C}}\]\[\frac{v_0}{v_i}=\frac{1}{1+j\omega CR}\]
then drew the RL like this |dw:1351174453791:dw|
and then just set \(\frac{v_0}{v_1}\) of the RC circuit equal to the ratio of the RL circuit and solved for L. which got me the answer \[L=CR^2\]Does this seem like a sufficient answer?