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

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 :

$db=20\ log(\dfrac{I_2}{I_1})$

$db=20\ log(\dfrac{2.5}{0.5})$

db = 13.97 db

or

db = 14 db

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