# Determining the Output Power Level of the Attenuator

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An attenuator has an attenuation of 10 dB over the frequency range 10 MHz to 1.0 GHz. A signal at the input of the attenuator has a frequency of 257 MHz and a power level of 10 dBW. What is the power level at the output of the attenuator in dBm?

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#### Solution Preview

Attenuation is A = 10 dB @ 257 MHz

Power level at output of attenuator for a 10 dBW signal is given by (1) below.

P(out) = P(in) - A (1)

Thus putting in values

P(out) = 10 dBW - 10 = 0 dBW

By definition, value in dBW = 10. Log{Value in W/1W) (2)

Work back to find 0 dBW in terms of linear quantity W, taking powers of 10 both sides of (2). ...

#### Solution Summary

The o/p level in dBm through an attenuator is determined knowing the characteristics of its attenuation and its i/p level in dBW

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