Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

phayxan

  • one year ago

Parallel resonant "tank" circuits are common in radio equipment. But unfortunately there is always resistance that prevents them from being perfect: in every real inductor, the wire that makes up the inductance has some resistance, and there may be leakage in the capacitor that can be modeled as a resistance. Also, the Norton resistance of the system connected to the tank circut looks like a leakage through the capacitor. So a realistic model for a tank circuit is the following: In the space provided below write an algebraic expression in terms of the device parameters for the bandwidth Δω o

  • This Question is Open
  1. KenLJW
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    s = jx : x = 2 pi f parallel RLC Tank 1) Z = R||sL||1/SC = (1/C) s/(s^2 + s/RC + 1/LC) |Z|^2 = (1/C^2) x^2/(x^2/(RC)^2 + (1/LC -x^2)^2) x^2 = 1/LC then Z = R for 3dB points |Z|^2 =R^2/2 |Z|^2 = x^2/(x^2 + (RC(1/LC - x^2)^2 =1/2 The two solutions above are the 3dB frequencies, there difference is the BW parallel LC tank with Rs in series with L 2) Z = (sL + Rs)||1/sC = (1/C)(s + Rs/L)/(s^2 + sRs/L1/LC) to make the denominator of eq 1 and 2 equal Rs/L = 1/RC R = L/CRs Q = xo L/Rs = 1/xo C Rs R = (xoL/Rs)(1/xoCRs)Rs = RsQ^2 place this R into equation 1 and find lower 3dB frequency and if it's greater than 10 Rs/L then eq 1 and 2 are a good approximation of each other Generally (sL + Rs)||1/sC = Rp||sL||1/sC Rp = RsQ^2 for 1/(LC)^1/2 > 10 Rs/L : L/C > 100 Rs^2

  2. KenLJW
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    correction Lower 3dB point > 10 Rs/L

  3. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.