Homework 2

# Homework 2 - ESE 372/Spring 2009 HW2 (problems are taken...

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1 ESE 372/Spring 2009 HW2 (problems are taken from recommended book) Due: February 26 th . 1.66. Using the voltage-divider rule, derive the transfer functions T(j ω )=V_out(j ω )/V_in(j ω ) of the circuits below. Plot the magnitude and phase responses. D1.69. It is required to couple a voltage source V_s with a resistance R_s to a load R_load via capacitor C. Derive an expression for the transfer function from source to load (i.e. V_load(j ω )/V_s(j ω )). Show that it is of the high-pass filter type. For R_s=5k and R_load=20kQ, find the smallest coupling capacitor that will result in a 3dB frequency not greater than 10Hz. 1.79. Use the voltage divider rule to find the transfer function V_o(j ω )/V_i(j ω ) of the circuit below. Show that the transfer function can be made independent of frequency if the condition C1*R1=C2*R2 applies. (Circuit is used in oscilloscope probes). 2.6. The two wires leading from the output terminals of a sensor pick up an interference signal that is a 60-Hz, 1-V amplitude sinusoid. The output signal of the sensor (measured as voltage

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## This note was uploaded on 05/11/2009 for the course ESE 372 taught by Professor Kamoua,r during the Spring '08 term at SUNY Stony Brook.

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Homework 2 - ESE 372/Spring 2009 HW2 (problems are taken...

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