• Support PF! Buy your school textbooks, materials and every day products Here!

DB difference, intensity

  • Thread starter Oijl
  • Start date
  • #1
114
0

Homework Statement


Two sounds differ in sound level by 2.80 dB. By what factor is the one intensity greater than the other?


Homework Equations





The Attempt at a Solution



Is the equation

[tex]B[/tex] = 10dB log(I/Io)

relevant?
 

Answers and Replies

  • #2
rl.bhat
Homework Helper
4,433
5
The equation is
Bdb = 10log(I/Io)
Now let B1 = 10log(I1/Io) and
B2 = 10log(I2/Io)
Take the difference and find the ratio of I1/I2.
 
  • #3
danago
Gold Member
1,122
4
Lets say sound 1 has an intensity of I1 and intensity level B, and sound 2 has an intensity of I2 with intensity level B+2.8

B = 10 log (I1 / I0)
B+2.8 = 10 log (I2 / I0)

See if you can use those

EDIT: rl.bhat beat me to it :P
 
  • #4
114
0
I'm sorry, but the algebra is confusing me. Could you show the first few steps, please?
 
  • #5
rl.bhat
Homework Helper
4,433
5
B1 = 10log(I1/Io)
B2 = 10log(I2/Io)
B1 -B2 = 10[log(I1/Io) - log(I2/Io)]
Use laws of logarithm to further simplification.
 

Related Threads for: DB difference, intensity

  • Last Post
Replies
3
Views
17K
  • Last Post
Replies
2
Views
643
  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
3
Views
531
  • Last Post
Replies
7
Views
7K
Replies
4
Views
3K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
1
Views
1K
Top