A constant tone is being applied to a speaker. The voltage across the speaker is 5 volts. The voltage across the speaker is increased to 15 volts in order to increase the sound level. What is the decibel gain, rounded to the nearest decibel?

decibel gain is 10 db

Explanation:

given data

voltage v1 = 5 volts

voltage v2 = 15 volts

to find out

decibel gain

solution

we have given that 5 volt voltage that is increase to 15 volts

so

we know here decibel gain formula that is

decibel gain = 20 log (v2/v1) ... 1

put here value of v1 and v2 in equation 1

decibel gain = 20 log (15/5)

decibel gain = 20 log3

decibel gain = 20 * 0.4771

decibel gain = 9.54 db = approx 10 db

so decibel gain is 10 db

10 do gain

Explanation:

The decibel formula for voltage: db = 20*log (%28%28E1%29%29%2F%28%28E2%29%29)

:

E1 = 15 v; E2 = 5v

:

db = 20*log (%2815%29%29%2F%285%29%29)

:

db = 20*log (3)

:

db = 20 *.47712

:

9.54 db ~ 10 db gain