A. When we are designing the sound levels to ensure a clear reception by a human ear, we often express the sound intensity in a unit called dB. The intensity level in dB of a sound wave can be found by converting the sound intensity produced by the speakers, I, expressed in Watts/m², using the formula: B(dB) = 10log10(- Where: Bis the sound intensity level in dB. I is the sound wave intensity in W/m². Io is a constant representing the intensity threshold of hearing, which is the lowest intensity a human can hear with his/her ears. A sound source, or a speaker, produces a wave with intensity I, which varies with respect to time as given below: 1= 3+2 cos(4t – n) W/m². Knowing that /o = 1 x 10-12 w /m²: 1. Find a formula for the rate of change of Bß with respect to time. [Hint: use the chain rule] 2. Find the value of the rate of change of ß with respect to time at t = 1 sec.
A. When we are designing the sound levels to ensure a clear reception by a human ear, we often express the sound intensity in a unit called dB. The intensity level in dB of a sound wave can be found by converting the sound intensity produced by the speakers, I, expressed in Watts/m², using the formula: B(dB) = 10log10(- Where: Bis the sound intensity level in dB. I is the sound wave intensity in W/m². Io is a constant representing the intensity threshold of hearing, which is the lowest intensity a human can hear with his/her ears. A sound source, or a speaker, produces a wave with intensity I, which varies with respect to time as given below: 1= 3+2 cos(4t – n) W/m². Knowing that /o = 1 x 10-12 w /m²: 1. Find a formula for the rate of change of Bß with respect to time. [Hint: use the chain rule] 2. Find the value of the rate of change of ß with respect to time at t = 1 sec.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Answer Task 1, Please.
![A. When we are designing the sound levels to ensure a clear reception by a human ear, we often express
the sound intensity in a unit called dB. The intensity level in dB of a sound wave can be found by
converting the sound intensity produced by the speakers, I, expressed in Watts/m², using the formula:
B(dB) = 10log10(-
Where:
Bis the sound intensity level in dB. I is the sound wave intensity in W/m². Io is a constant representing the
intensity threshold of hearing, which is the lowest intensity a human can hear with his/her ears.
A sound source, or a speaker, produces a wave with intensity I, which varies with respect to time as given
below:
1= 3+2 cos(4t – n) W/m².
Knowing that /o = 1 x 10-12 w /m²:
1. Find a formula for the rate of change of Bß with respect to time. [Hint: use the chain rule]
2. Find the value of the rate of change of ß with respect to time at t = 1 sec.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75e080c3-d5d6-46a9-9a7d-8d9f775fa23d%2Fb7c43bac-596e-4ca0-97c6-a67e1fad5604%2Fkgagnek.png&w=3840&q=75)
Transcribed Image Text:A. When we are designing the sound levels to ensure a clear reception by a human ear, we often express
the sound intensity in a unit called dB. The intensity level in dB of a sound wave can be found by
converting the sound intensity produced by the speakers, I, expressed in Watts/m², using the formula:
B(dB) = 10log10(-
Where:
Bis the sound intensity level in dB. I is the sound wave intensity in W/m². Io is a constant representing the
intensity threshold of hearing, which is the lowest intensity a human can hear with his/her ears.
A sound source, or a speaker, produces a wave with intensity I, which varies with respect to time as given
below:
1= 3+2 cos(4t – n) W/m².
Knowing that /o = 1 x 10-12 w /m²:
1. Find a formula for the rate of change of Bß with respect to time. [Hint: use the chain rule]
2. Find the value of the rate of change of ß with respect to time at t = 1 sec.
![](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75e080c3-d5d6-46a9-9a7d-8d9f775fa23d%2Fb7c43bac-596e-4ca0-97c6-a67e1fad5604%2Fr7ytv9.png&w=3840&q=75)
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