Learning Goal:
To analyze and design a passive, first-order high-pass filter
using a series $RC$ circuit.
An instrument needs to detect periodic signals of
approximately 5000 Hz. The instrument operates in an
environment with a lot of periodic noise ranging from a few to
several hundred hertz. A high-pass $RC$ filter can be built using
available 2.0 µF capacitors; resistors of any necessary value
are also available.
▷ Part A - Qualitative analysis of a series $RC$ low-pass filter
Part B - Designing and analyzing a series $RC$ high-pass filter
Using the available 2.0 µF capacitor, what is the value of the resistor needed to make a high-pass filter with a cutoff frequency of 2700 Hz?
Express your answer to three significant figures and include appropriate units.
► View Available Hint(s)
μΑ
?
$R=$ Value Units
Submit
Part C - Measuring the effectiveness of the series $RC$ high-pass filter
To measure the effectiveness of the design, find the magnitude of the output voltage of the series $RC$ high-pass filter for the given frequencies. Use an
input voltage of 1 V.
Express your answers, separated by commas, to three significant figures in units of volts.
► View Available Hint(s)
Vout (60 Hz), Vout (2700 Hz), Vout (5000 Hz) =
Submit
■ ΑΣΦ 11 vec?
V, V, V