Question

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?

Answer 1

Answer:

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

Answer 2

Answer:

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