Question

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 1.0 μF capacitors; resistors of any necessary value are also available.
1. Using the available 1.0 μF capacitor, what is the value of the resistor needed to make a high-pass filter with a cutoff frequency of 3000 Hz? Express your answer to three significant figures and include appropriate units

Answer 1

Answer:

R= 53.7 Ω

Explanation:

fc= 1/(2πRC)

3000=1/(2π× 1 × 10^-6 × R)

R= 53.7 Ω