How to find the total dB of two sounds?

  • Thread starter Summer95
  • Start date
  • #1
36
0

Homework Statement


The frequency of the two sounds is the same, and the observer is equal distance from either sound source. When one speaker is turned off the loudness is 70dB, what is the total loudness when it is turned back on?

Homework Equations


A2∝I
dB=10log(I/I0)

The Attempt at a Solution


$$10log(\sqrt{\frac{2A}{A}})=10log\sqrt{2}=1.5$$
and 70+1.5=71.5dB

but I do not see it done this way anywhere so I don't know what I'm doing wrong
 

Answers and Replies

  • #2
35,253
11,503
Intensity is amplitude squared, not the other way round. Where does the square root come from?
 
  • #3
36
0
The square root comes from the equation for dB which is 10log(I/I0)

But if you are doubling the amplitude that part becomes √2 right?
 
  • #4
36
0
The square root comes from the equation for dB which is 10log(I/I0)

But if you are doubling the amplitude that part becomes √2 right?
because Intensity is proportional to the root of amplitude.
 
  • #5
36
0
because Intensity is proportional to the root of amplitude.
nevermind your right I had it the wrong way round
 

Related Threads on How to find the total dB of two sounds?

  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
3
Views
17K
  • Last Post
Replies
0
Views
1K
Replies
1
Views
21K
  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
2
Views
7K
  • Last Post
Replies
6
Views
8K
  • Last Post
Replies
1
Views
22K
  • Last Post
Replies
1
Views
2K
Top