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White noise with power density N0 /2 = 6 μW/Hz is applied to an ideal filter of gain 1 and bandwidth W rad/s. If the output's average noise power is 15 watts, the bandwidth W is
  • a)
    2.5 x 10-6
  • b)
    2.5π x 10-6
  • c)
    5 x 10-6
  • d)
    5π x 10-6
Correct answer is option 'B'. Can you explain this answer?
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White noise with power density N0/2 = 6 μW/Hz is applied to an idea...
White noise is a type of random signal that has equal intensity at all frequencies. In the context of power density, white noise has a constant power density throughout the entire frequency spectrum.

If the power density of white noise is given as N0/2 = 6, it means that the average power per unit bandwidth is 6. This can be interpreted as the noise power spread evenly across all frequencies.

Note that N0/2 is often used to represent the power spectral density of white noise, where N0 is the total noise power. In this case, N0 would be equal to 12, since N0/2 = 6.
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White noise with power density N0/2 = 6 μW/Hz is applied to an ideal filter of gain 1 and bandwidth W rad/s. If the output's average noise power is 15 watts, the bandwidth W isa)2.5 x 10-6b)2.5π x 10-6c)5 x 10-6d)5π x 10-6Correct answer is option 'B'. Can you explain this answer?
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