/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 16 Whit is the resonwont frequency ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Problem 16

Whit is the resonwont frequency of a tank circuit with \(L=10 \mathrm{mH}\) and \(C=0.001 \mu \mathrm{F} ?\)

Short Answer

Expert verified
The resonant frequency of the tank circuit with \(L = 10\, mH\) and \(C = 0.001\, \mu F\) is approximately \(1.59 \times 10^5\, Hz\).

Step by step solution

01

Write down the given values

First, write down the given values of inductance and capacitance: Inductance (L) = \(10 \,mH\) Capacitance (C) = \(0.001 \, \mu F\)
02

Convert the units to their standard form

Convert the inductance and capacitance values into standard units (Henries for inductance and Farads for capacitance). \(10\, mH = 10 \times 10^{-3} H = 0.01\, H\) \(0.001\, \mu F = 0.001 \times 10^{-6} F = 10^{-9} F\)
03

Calculate the resonant frequency

Apply the formula for resonant frequency: \(f_r = \frac{1}{2\pi\sqrt{LC}}\) Plugging in the values: \(f_r = \frac{1}{2\pi\sqrt{(0.01\, H)(10^{-9}\, F)}}\) Now, calculate the numerical value for the resonant frequency: \(f_r = \frac{1}{2\pi\sqrt{10^{-11}}}\)
04

Finalize the answer

After simplifying the expression, we obtain the resonant frequency: \(f_r \approx 1.59 \times 10^5\, Hz\) Therefore, the resonant frequency of the tank circuit is approximately \(1.59 \times 10^5\, Hz\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A certain class A power amplifict has \(V_{\text {rey }}-12 \mathrm{~V}\) and \(I_{\text {to }}=1 \mathrm{~A}\). The makimum wigrul power cutrut is (a) \(6 w\) (h) \(12 \mathrm{~W}\) (c) \(1 \mathrm{~W}\) (d) \(0.707 \mathrm{~W}\)

The efficiency of a thass C amplifier is (a) less than class \(A\) (b) less then class B (c) less than ciass ABS (d) greater than classes. \(A, B\), or \(A B\)

The muximum efficiency of a class B push-pull amplifier is (?) 255 (b) 507 (c) \(79 \pi\) (d) \(98 \%\)

What is the maximum peak-to-peak output voltape of a tuned class C amplificr with \(V_{C C}=12 \mathrm{~V}^{\prime \prime}\)

A certain class A pouer amplificr deliven \(5 \mathrm{~W}\) to a lood with an inpot sigaal power of \(100 \mathrm{~mW}\). The power gein is (a) 100 (b) 50 (c) 250 (d) 5
See all solutions

Recommended explanations on Physics Textbooks

Fields in Physics

Read Explanation

Electricity

Read Explanation

Translational Dynamics

Read Explanation

Dynamics

Read Explanation

Geometrical and Physical Optics

Read Explanation

Work Energy and Power

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.