Problem 13.3-6

We are looking for the gain and the phase shift, so we first need the network function.

We use the table on page p.600 of the textbook to get the network function.

Thus, for fig. 13.3-6 we get:

where z is given by 1/C₁R₁, so we have z = 1/(10.10³*4.10^-6) = 25

where p is given by 1/C₂R₂, so we have p = 1/(50.10³*2.10^-6) = 10,

and k = R₂/R₁ so here k = 50/10 = 5

thus we get:

Now we are looking for the gain and the phase shift.

The gain is the module of the network function: H = gain = |H(ω)|, thus

and the phase shift is given by the following formula:

thus we get: