SOLUTION: The signal to a speaker causes .5 amps of current. The signal level is increased to 2.5 amps. What is the gain, rounded to the nearest decibel? I'm really stuck, please help me!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The signal to a speaker causes .5 amps of current. The signal level is increased to 2.5 amps. What is the gain, rounded to the nearest decibel? I'm really stuck, please help me!      Log On


   



Question 316456: The signal to a speaker causes .5 amps of current. The signal level is increased to 2.5 amps. What is the gain, rounded to the nearest decibel?
I'm really stuck, please help me!

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The signal to a speaker causes .5 amps of current.
The signal level is increased to 2.5 amps.
What is the gain, rounded to the nearest decibel?
:
The decibel gain formula using current: db = 20log%28I2%2FI1%29
where I1=.5, I2=2.5
:
db = 20log%282.5%2F.5%29
db = 20log(5)
db = 20*.69897
db = 13.9794 ~ 14 db gain