High Pass Filter and its Components

A high pass filter is an electronic circuit that allows high-frequency signals to pass through while attenuating or blocking low-frequency signals. It comprises of two main components - a resistor (R) and a capacitor (C). The resistor determines the cutoff frequency, and the capacitor blocks low-frequency signals.

Determining the Capacitor Value

To determine the capacitance value required for the high pass filter, we need to know the desired cutoff frequency (fc) and the resistor value (R). In this case, the cutoff frequency is 7.5kHz, and the resistor value is 2k ohm.

Formula for Cutoff Frequency

The cutoff frequency (fc) of a high pass filter can be calculated using the formula:

fc = 1 / (2πRC)

Where:
fc = cutoff frequency
R = resistance value
C = capacitance value

Substituting Values

Let's substitute the given values into the formula:

7.5kHz = 1 / (2π * 2kΩ * C)

Solving for Capacitance (C)

To solve for capacitance (C), we can rearrange the formula as follows:

C = 1 / (2π * 2kΩ * 7.5kHz)

Calculating the Capacitance

Now, let's calculate the capacitance:

C = 1 / (2 * 3.14 * 2000 * 7500)

C ≈ 1 / 94200000

C ≈ 1.06 * 10^-8 Farads

Therefore, the required capacitance for the high pass filter is approximately 10.6 nanofarads (nF).

Summary

To design a high pass filter with a cutoff frequency of 7.5kHz and a resistor value of 2k ohm, a capacitor with a value of approximately 10.6nF should be used. The cutoff frequency formula (fc = 1 / (2πRC)) was used to calculate the capacitance value. By substituting the given values into the formula, the required capacitance was determined.