Reference no: EM132302753
Question 1. The circuit below represents a bandpass filter created by cascading two first -order filters (drawn in the s-domain for your convenience).
Find the circuit's transfer function. Write the result as H(s) = N(s)/D(s) where N(s) and D(s) are polynomials in positive (and/or zero) powers of s. Combine terms and simplify. Show your work.
Question 2. Determine the impulse response for the circuit below if vg is the input and v0 (across the 20Ω resistor) is the output. Show your work.
Question 3. Consider the ideal op-amp circuit below. Show all your work.
a. Write the s-domain equation for the voltage V+ at the non-inverting input. Simplify.
b. Apply KCL to write the equation at the node V, where all currents are defined to be leaving the node. Do not solve, just write the equation. Perform reasonable simplification.
Question 4. Consider the design of a bandpass filter as shown below consisting of the cascade of a lowpass filter and a highpass filter followed by a gain stage. The cutoff frequencies are 500 Hz and 50 kHz and the gain K = 2. Let CH = CL = 200 nF.
a) Which cutoff frequency corresponds to the lowpass filter, and which cutoff frequency corresponds to the highpass filter?
b) Determine the appropriate component values (RL, RH, 124,110 in the circuit below for the bandpass filter. Show your work.
Provide answer as indicated.
Question 5.
a. List at least two primary advantages of an active filter as compared to a passive filter. Be specific. Just list the advantages - be brief.
b. State the fundamental property of linear circuits/systems related to sinusoidal steady-state response. Be brief and concise.
c. Two first order active filters (LP and HP) connected as shown below can produce what type of response? Circle the correct answer.
a) Bandpass
b) Highpass
c) Bandreject
d) Lowpass
e) None of the above
Question 6. Consider the passive filter circuit below. Determine by inspection the type of filter (lowpass, highpass, bandpass, band reject) implemented by this passive filter circuit. Justify your answer (state why it is the type you have determined). Show your work.