Problem 59-3    Font:   Problem elaborated by the site's authors.

For the circuit shown in Figure 59-03.1, determine:

a) the first and second cutoff frequencies of the filter.

b) what is the output voltage V_o, if V_i = 10 cos(600 t)

Solution of the Problem 59-3   

Item a   

This configuration is a low pass circuit with limited attenuation. Therefore, the first cutoff frequency f_c is given by eq. 59-11. Then:

And the second cutoff frequency f₁ is given by eq. 59-12. Then:

Item b   

To solve this item we have f_c = 53, f₁ = 159 and f = ω / 2 π = 600 / 2 π = 95.5. Like this:

Substituting these values into eq. 59-12, we obtain:

Thus, we have: