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?
To calculate the decibel gain, you need to use the formula:
Decibel gain = 20 * log10(V2/V1)
Where V1 is the initial voltage and V2 is the final voltage.
In this case, the initial voltage (V1) is 5 volts, and the final voltage (V2) is 15 volts.
Let's calculate the decibel gain using the formula:
Decibel gain = 20 * log10(15/5)
= 20 * log10(3)
≈ 20 * 0.4771
≈ 9.542 decibels
Therefore, the decibel gain, rounded to the nearest decibel, is approximately 9.5 decibels.