## richyw Group Title RC and RL low pass filters? one year ago one year ago

1. richyw

I'm working on the attached question and a little bit confused on what to do?

2. richyw

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}$

3. richyw

then drew the RL like this |dw:1351174453791:dw|

4. richyw

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?