A cassette player is said to have a signal-to-noise ratio of 49 dB , whereas for

Question

A cassette player is said to have a signal-to-noise ratio of 49 dB , whereas for a CD player it is 99 dB .

Part A

What is the ratio of intensities of the signal and the background noise for each device?

Express your answers using two significant figures. Enter your answers numerically separated by a comma.

A cassette player is said to have a signal-to-noise ratio of 49 dB , whereas for a CD player it is 99 dB .

Part A

What is the ratio of intensities of the signal and the background noise for each device?

Express your answers using two significant figures. Enter your answers numerically separated by a comma.

Explanation / Answer

As we know that signal to noise ratio is the ratio of the average power of a signal to the average power of background noise (i.e. Ps/Pn) expressed in decibels (dB). dB are calculated from a power ratio by this formula: dB = 10*log(P2/P1), leading to P1/P2 = 10^(dB/10)

Thus a signal having a S/N ratio of 49dB corresponds to an intensity of 10*4.9 = 7.94*10^4,

In two significant figures this is 7.9*10^4.

While 99dB corresponds to an intensity of 10^9.9 = 7.94*10^9

In two significant figures this is 7.9*10^9

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