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1
ESE 372/Spring 2009
HW2
(problems are taken from recommended book)
Due: February 26
th
.
1.66.
Using the voltagedivider 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 highpass filter type. For R_s=5k
Ω
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 60Hz, 1V 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.
 Spring '08
 Kamoua,R

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