Decide between two new stereo amplifiers

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SUMMARY

The discussion focuses on comparing two stereo amplifiers rated at 130 W and 200 W per channel, specifically analyzing the difference in loudness in decibels (dB). The relevant formula used is dB = 10 log (I/Io), where power is proportional to intensity. The correct approach confirms that the power ratings can be used as intensities, leading to the calculation of the loudness difference. The conclusion indicates that the 200 W amplifier will be significantly louder than the 130 W amplifier when both operate at maximum levels.

PREREQUISITES
  • Understanding of decibel (dB) calculations
  • Basic knowledge of audio amplifier specifications
  • Familiarity with logarithmic functions
  • Concept of power and intensity relationship
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  • Learn about the relationship between power, intensity, and loudness in audio systems
  • Explore different types of stereo amplifiers and their specifications
  • Investigate how to measure sound levels in dB using sound level meters
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Audio engineers, audiophiles, and anyone interested in understanding the technical aspects of stereo amplifiers and sound intensity measurements.

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Homework Statement



You are trying to decide between two new stereo amplifiers. One is rated at 130 W per channel and the other is rated at 200 W per channel.
In terms of dB, how much louder will the more powerful amplifier be when both are producing sound at their maximum levels?


Homework Equations



dB = 10 log (I/Io)



The Attempt at a Solution



I was not sure If i can use the 130 W and 200 W as intensities...
 
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Power is proportional to the intensity so yes.
 


so the solution is :

dB = 10 log (130/200) ?
 

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