College

We appreciate your visit to Calculate the series RC value that will produce an output voltage of tex V 3 97 V tex at tex f 57 Hz tex when. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Calculate the series RC value that will produce an output voltage of [tex]$V = 3.97 \, V$[/tex] at [tex]$f = 57 \, Hz$[/tex] when an input voltage of [tex]$V = 29 \, V$[/tex] at [tex]$f = 57 \, Hz$[/tex] is applied.

This is a low-pass filter with one resistor and one capacitor.

**Notes on entering the solution:**
- Multiply your answer by 1000.
- For example, if your answer is [tex]2.3 \times 10^{-3}[/tex], enter it as 2.3.
- Do not include units in your answer.

Answer :

The series RC value for the low-pass filter is approximately 77.963

To calculate the RC value for a low-pass filter that produces a 3.97 V output at 57 Hz when a 29 V input is applied at the same frequency, we can use the formula for the transfer function of a first-order low-pass filter:

Vout = Vin / √(1 + (2πfRC)^2)

Given:

Vin = 29 V

Vout = 3.97 V

f = 57 Hz

Rearranging the formula, we get:

Rc = √((Vin / Vout)^2 - 1) / (2πf)

Substituting the given values, we can calculate the RC value:

RC = √((29 / 3.97)^2 - 1) / (2π * 57)

RC ≈ 0.077963

Multiplying by 1000 to convert from seconds to milliseconds, the RC value is approximately 77.963 ms.

Therefore, the series RC value for the low-pass filter is approximately 77.963

To know more about RC .

https://brainly.com/question/30938152

#SPJ11

Thanks for taking the time to read Calculate the series RC value that will produce an output voltage of tex V 3 97 V tex at tex f 57 Hz tex when. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Substituting the given values, we get: RC ≈ 0.1318. Multiplying by 1000 as instructed, we get: RC ≈ 131.8. Therefore, the required series RC value is approximately 131.8 ohms.

To calculate the RC value of the low pass filter, we can use the formula:

Vout = Vin / sqrt(1 + (2 * pi * f * RC)^2)

We can rearrange the formula to solve for RC:

RC = 1 / (2 * pi * f * sqrt((Vin / Vout)^2 - 1))

Substituting the given values, we get:

RC = 1 / (2 * pi * 57 * sqrt((29 / 3.97)^2 - 1))

RC ≈ 0.1318

Multiplying by 1000 as instructed, we get:

RC ≈ 131.8

Therefore, the required series RC value is approximately 131.8 ohms.

For more such questions on Series RC:

https://brainly.com/question/26019495

#SPJ11