Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 9: Problem 13

a. What frequency is one octave above \(5 \mathrm{kHz}\) ? b. What frequency is one decade below \(10 \mathrm{kHz}\) ? c. What frequency is two octaves below \(20 \mathrm{kHz}\) ? d. What frequency is two decades above \(1 \mathrm{kHz}\) ?

Short Answer

Expert verified
The frequency one octave above 5kHz is 10 kHz, one decade below 10kHz is 1 kHz, two octaves below 20kHz is 5kHz and two decades above 1kHz is 100 kHz.

Step by step solution

01

Calculating Octave of 5kHz

An octave is a doubling of frequency. Therefore, if the frequency is 5kHz, one octave above would be \(2 \times 5kHz = 10 kHz\).
02

Calculating Decade below 10kHz

A decade is a division of frequency by 10. Therefore, if the frequency is 10kHz, one decade below would be \(10 kHz / 10 = 1kHz\).
03

Calculating Octave below 20kHz

If our frequency is 20kHz, going an octave below will mean halving the frequency. Doing this twice (for two octaves below) gives us \(20 kHz / (2 \times 2) = 5 kHz\).
04

Calculating Decades above 1kHz

A decade is a multiplication of frequency by 10. Therefore, if the frequency is 1kHz, two decades above would be \(1 kHz \times (10 \times 10) = 100 kHz\).

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Calculate the overall upper \(3-\mathrm{dB}\) frequency for a four-stage amplifier having an individual stage value of \(f_{2}=2.5 \mathrm{MHz}\)

If the applied ac power to a system is \(5 \mu \mathrm{W}\) at \(100 \mathrm{mV}\) and the output power is \(48 \mathrm{~W}\). determine: a. The power gain in decibels. b. The voltage gain in decibels if the output impedance is \(40 \mathrm{k} \Omega\). c. The input impedance. d. The output voltage.

Calculate the power gain in decibels for each of the following cases. a. \(P_{o}=100 \mathrm{~W}, P_{i}=5 \mathrm{~W}\). b. \(P_{o}=100 \mathrm{~mW}, P_{i}=5 \mathrm{~mW}\). c. \(P_{o}=100 \mathrm{~mW}, P_{i}=20 \mu \mathrm{W}\).

Input and output voltage measurements of \(V_{i}=10 \mathrm{mV}\) and \(V_{o}=25 \mathrm{~V}\) are made. What is the voltage gain in decibels?

a. The total decibel gain of a three-stage system is \(120 \mathrm{~dB}\). Determine the decibel gain of each stage if the second stage has twice the decibel gain of the first and the third has \(2.7\) times the decibel gain of the first. b. Determine the voltage gain of each stage.
See all solutions

Recommended explanations on Physics Textbooks

Torque and Rotational Motion

Read Explanation

Fundamentals of Physics

Read Explanation

Work Energy and Power

Read Explanation

Electricity

Read Explanation

Circular Motion and Gravitation

Read Explanation

Quantum Physics

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.

Sign-up for free