An absolute measure of power is the dBm scale, in which power is specified in decibels relative to one milliwatt. Specifically, P(dBm) = 10 log₁₀[P(mW)/1 mW]. Suppose that a receiver is rated as having a sensitivity of −20 dBm, indicating the mimimum power that it must receive in order to adequately interpret the transmitted electronic data. Suppose this receiver is at the load end of a 50- transmission line having 100-m length and loss rating of 0.09 dB/m. The receiver impedance is 75 Ω, and so is not matched to the line. What is the minimum required input power to the line in

(a) dBm,

(b) mW?