# Filter Network - (answer does not match books)

1. Jul 10, 2006

I'm not sure what I'm doing wrong here, as my answer does not match up with the books. Sorry about the scan, it looks kinda bad.

!!! I made a mistake writing the books answer down. It should be:

$$\bar G_v(j \omega ) = \frac{j \omega C (R_1+R_2)+1}{j \omega R_1 +1}$$
Any help would be awesome! Thanks!

Last edited: Jul 10, 2006
2. Jul 10, 2006

### Rumpelstiltzkin

You sure it's not:

$$\bar G_v(j \omega ) = \frac{j \omega C (R_1+R_2)+1}{j \omega C R_1 +1}$$

Anyway, I think your nodal equation is incorrect. KCL states that the sum of all currents flowing out of the node equals to zero. Vi/a and (Vi-Vo)/b are both currents flowing out of the node. So it's supposed to be Vi/a + (Vi-Vo)/b = 0.

3. Jul 10, 2006