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A signal of 2.5 ๐‘ฃ๐‘œ๐‘™๐‘ก๐‘  ๐‘Ÿ๐‘š๐‘  is corrupted by10 ๐‘š๐‘‰ ๐‘Ÿ๐‘š๐‘  of noise in a circuit. What is the๐‘†/๐‘ ๐‘Ÿ๐‘Ž๐‘ก๐‘–๐‘œ at this point?

Question

A signal of 2.5 ๐‘ฃ๐‘œ๐‘™๐‘ก๐‘  ๐‘Ÿ๐‘š๐‘  is corrupted by 10 ๐‘š๐‘‰ ๐‘Ÿ๐‘š๐‘  of noise in a circuit. What is the ๐‘†/๐‘ ๐‘Ÿ๐‘Ž๐‘ก๐‘–๐‘œ at this point?

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Solution

The Signal-to-Noise (S/N) ratio is a measure used in science and engineering to quantify how much a signal has been corrupted by noise. It is defined as the ratio of signal power to the noise power.

To calculate the S/N ratio, you need to follow these steps:

  1. Convert the signal and noise from volts to millivolts (if necessary) to make sure they are in the same units. In this case, the signal is already in volts and the noise is in millivolts. So, we need to convert the signal from volts to millivolts. We know that 1 volt = 1000 millivolts, so 2.5 volts = 2.5 * 1000 = 2500 millivolts.

  2. Now that the signal and noise are in the same units, you can calculate the S/N ratio by dividing the signal by the noise. So, S/N = 2500 millivolts / 10 millivolts = 250.

So, the S/N ratio at this point is 250.

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