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The maximum data rate to T1 carrier is 1.544Mbps, so we have:

50000*log2(1+S/N) = 1544000

log2(1+S/N) = 30.88

1+S/N = 1976087933

S/N = 1976087932

So the signal-to-noise is 10*lg1976087932 = 93db

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Q: What signal to noise ratio is needed to put an T1 carrier on a 100 kHz line?
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