C C F 1 3 4 5 1 R R R R R M 2 05 R M The transfer function for the circuit

# C c f 1 3 4 5 1 r r r r r m 2 05 r m the transfer

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C C F , 1 3 4 5 1 R R R R R M , 2 0.5 R M . The transfer function for the circuit becomes:   2 2 1 2 1 s T s s s   . Determine the steady-state time response , ( ) O steady state v t of the circuit to an input signal   sin( ) volts I v t t . c. Consider the circuit from part (b) with   2 2 1 2 1 s T s s s   . The output of the circuit above is to be connected the circuit to a filter of your design. Design a filter in such a way that the resulting magnitude response curve of the combined circuit has the following properties: (i) 0dB DC gain; (ii) High frequency response beyond 10 rad/sec sloping down at -40db/decade. Draw the circuit diagram for the filter and show how it is connected to the original circuit. Draw the magnitude response of the new circuit consisting of the original circuit connected to the designed filter.

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18 Question 17 Circuit Type Advanced Gyrator Course Topics Transfer Functions, Equivalent Impedance Difficulty Exam Consider the circuit below. For the following question, you may assume that the op-amps are ideal, and that . Find the transfer function, ( ) , relating the input, , to the output, . Hint: You should model the sub-circuit in the box above as a complex impedance, . You may leave terms in your final equation for ( ) , but it should otherwise be expressed in simplest form, and you still must solve for . 𝑉 ?? 𝑉 ??? 𝑍 𝑒𝑞 HINT:
19 Question 18 Circuit Type Biquad (Revisited) Course Topics Bode Plots Difficulty Introductory For a certain circuit, the transfer function of the circuit is given as: ( ) + + + + Draw Bode magnitude and phase plots for this transfer function. On the plot, clearly indicate all pole/zero corner frequencies.

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20 Question 19 Circuit Type N/A Course Topics Bode Plots, Filter Design Difficulty Exam A circuit is designed to work with only a certain range of frequencies. We need to include a filter to remove any undesirable frequency components from the input signal. Design a filter circuit that will produce the Bode magnitude response plot shown above. Draw the completed circuit. You may use any number of components, but your chosen component values must be realistic. You are limited to the following ranges for passive components: , ,
21 Question 20 Circuit Type Advanced Bandpass Course Topics Transfer Functions Difficulty Exam

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22 Question 21 Circuit Type Biquad Course Topics Transfer Functions Difficulty Exam
23 Question 22 Circuit Type High-order LPF Course Topics Transfer Functions, Transient Response Difficulty Exam

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24 Question 23 Circuit Type BPF Course Topics Transfer Functions, Steady-State Response Difficulty Exam (a) Find the transfer function of the above circuit. (b) What would the steady-state response of the above circuit be, given an input of the ( ) and the component values shown below?
• Spring '17

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