One need to design a filter with cut off frequency 330 Hz. Which of the following resistor and capacitor combination is correct. R = 10K Ohm C=0.48 micro farad R = 2K Ohm C=0.047 micro farad R = 1K Ohm C=0.48 micro farad R = 20K Ohm C=0.047 micro farad
Question
One need to design a filter with cut off frequency 330 Hz. Which of the following resistor and capacitor combination is correct. R = 10K Ohm C=0.48 micro farad R = 2K Ohm C=0.047 micro farad R = 1K Ohm C=0.48 micro farad R = 20K Ohm C=0.047 micro farad
Solution
The cut-off frequency for a RC (Resistor-Capacitor) filter can be calculated using the formula:
f_c = 1 / (2πRC)
where: f_c is the cut-off frequency, R is the resistance in ohms (Ω), C is the capacitance in farads (F).
We can rearrange the formula to solve for the combination of R and C that will give us a cut-off frequency of 330 Hz:
R = 1 / (2πf_cC)
Let's calculate the resistance for each given capacitor value:
- For C = 0.48 microfarad (or 0.48 x 10^-6 F), R = 1 / (2π * 330 * 0.48 x 10^-6) ≈ 1.01 KΩ
- For C = 0.047 microfarad (or 0.047 x 10^-6 F), R = 1 / (2π * 330 * 0.047 x 10^-6) ≈ 10.1 KΩ
Comparing these calculated resistances with the given options, we can see that the combination of R = 1K Ohm and C = 0.48 microfarad is the closest to our calculated values. Therefore, this is the correct combination to design a filter with a cut-off frequency of 330 Hz.
Similar Questions
A filter consist of resistance = 10k Ohm. and capacitance = 220 pF. Find out the cut of frequency.7.234 MHz72.34 KHz7.234 KHz72.34 Hz
In the above BPF circuit, the desire higher cut off frequency (fh) = 6 KHz. R1=R3=1 K Ohm. and R5=R6 = 10K Ohm. R2 = 10 k Ohm and R4 = 1K Ohm . Find out the value of the capacitor C2 .
What is the cut off frequency for an RC series circuit if R = 1500 ohm and C = 100 nF?Group of answer choices314 Hz1.062 Hz942 μHz1062 Hz
In the RC high-pass filter shown in the figure, R = 13.1 kΩ and C = 0.0365 μF. What is the 3.00-dB frequency of this circuit (where dB means basically the same for electric current as it did for sound in Chapter 16)? That is, at what frequency does the ratio of output voltage to input voltage satisfy 20log(VoutVin)=−320log𝑉out𝑉in=-3 ? Hz
The above figure exhibit the response of the band pass filter. fL = Lower cut off frequency = 100 HzfH = Higher cut off frequency = 10K HzGain at the fH is 15 dBWhat will be the Q factor of the filter?999.91811
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.