Evaluate the condition on the amplifier noise temperature, Electrical Engineering

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Alow-noise transducer is connected to an instrumentation system by a cable that generates thermal noise at room temperature. The information-bearing signal has a bandwidth of 6 kHz. The signal power delivered is P_in = 120 pW. Evaluate the condition on the amplifier noise temperature T_a such that the signal-to-noise ratio (SNR) is greater than or equal to 50 dB.

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