/*! 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} Q. 47 An amplifier鈥檚 power output P ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 47 (page 349)

An amplifier鈥檚 power output P (in watts) is related to its decibel voltage gain d by the formula,P=25e0.1d

(a) Find the power output for a decibel voltage gain of 4 decibels.

(b) For a power output of 50 watts, what is the decibel voltage gain?

Short Answer

Expert verified

Part (a) The power output for a decibel voltage gain of 4 decibels is:37.3W

Part (b) The decibel voltage gain for a power output of 50 watts is: 6.9dB

Step by step solution

01

Part (a) Step 1. Given information  

An amplifier鈥檚 power output P (in watts) is related to its decibel voltage gain d by the formula,P=25e0.1d

02

Part (a) Step 2. Finding the power output for a decibel voltage gain of 4 decibels. 

P=25e0.1d

Put, d=4

role="math" localid="1646615571862" 鈬�P=25e0.1脳4

鈬�P=25e0.4

鈬�P=25脳1.492

鈬�P=37.3

03

Part (b) Step 1. Finding the decibel voltage gain for a power output of 50 watts.

P=25e0.1d

Put, P=50

role="math" localid="1646615751689" 鈬�50=25e0.1d

鈬�e0.1d=5025

鈬�e0.1d=2

Taking log on both sides,

lne0.1d=ln2

role="math" localid="1646615908265" 鈬�0.1d=ln2

鈬�d=ln20.1

鈬�d=0.690.1

鈬�d=6.9

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

solve each equation. Verify your results using a graphing utility.

9-x+15=27x

The graphs ofy=a-x and y=1axare identical. Why?

Begin with the graph of y=ex and use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.

fx=-ex

In Problems 61鈥�72, the function f is one-to-one. Find its inverse and check your answer.

f(x)=42-x

If 3-x=2, what does32xequal ?
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Statistics

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.