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The 3 dB bandwidth of a filter is the band over which the output power

  • A.Falls to one tenth of its peak value
  • B.Falls to half its peak value
  • C.Falls to one third of its peak value
  • D.Rises by three times its peak value

Answer: B

Three decibels is a factor of two in power, so the 3 dB points are where the output power has halved and the voltage has fallen to \( 1/\sqrt{2} \) of its peak. A factor of three would be about 4.8 dB. Nothing rises above the peak by definition. A tenth of the power is 10 dB down. The half-power convention is used because it coincides with the point where the reactive and resistive parts of a simple resonant circuit are equal, which makes it a natural measure rather than an arbitrary one.

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