Question

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?

Answer 1

Step-by-step explanation:

It is given that,

The signal to a speaker causes 0.5 amps of current,
`I_1=0.5\ A`

The signal level is increased to 2.5 amps,
`I_2=2.5\ A`

We need to find the gain to the nearest decibel. The decibel gain formula of the speaker is given by :

`db=20\ log((I_2)/(I_1))`

`db=20\ log((2.5)/(0.5))`

db = 13.97 db

or

db = 14 db

So, the gain pf the speaker is 14 db. Hence, this is the required solution.