(a) Calculate the noise generated from the power supply, Noise B. Assume the equivalent input noise current of the amplifier is negligible, and that room temperature conditions of 22 °C apply. (b) Calculate the total noise in the system. (c) Calculate the Signal to Noise ratio at the output signal (main signal with noise).

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An ideal voltage amplifier has a voltage gain of 10 (Vout/Vin) as shown in Figure Q3 and it
is connected with a voltage source with an internal resistance and signal bandwidth of 1
k and signal bandwidth of 1 MHz, respectively. The noise level in r.m.s of Noise A
(radiation noise) is 25 µV and Noise B is the noise flow (power source). The r.m.s. input
voltage is 0.707 V and it is uniform over the frequency band. The contribution to the r.m.s.
noise voltage from thermal noise inside a resistor is given by the following equation,
v₁ =√4xkxTxBxR
Equation 3
where: V₁= the r.m.s. noise voltage, Volt
k = the Boltzmann constant, 1.38×10-23 J/ºK.
T = temperature, °K
B= frequency bandwidth, Hz
R = resistance value of the resistor,
(a) Calculate the noise generated from the power supply, Noise B. Assume the equivalent
input noise current of the amplifier is negligible, and that room temperature conditions
of 22 °C apply.
(b) Calculate the total noise in the system.
(c) Calculate the Signal to Noise ratio at the output signal (main signal with noise).
4
62 24
Ideal voltage amplifier
Input Signal
@
Noise A
Output Signal
Noise B
Figure Q3 Noise influence over the amplified main signal
Transcribed Image Text:An ideal voltage amplifier has a voltage gain of 10 (Vout/Vin) as shown in Figure Q3 and it is connected with a voltage source with an internal resistance and signal bandwidth of 1 k and signal bandwidth of 1 MHz, respectively. The noise level in r.m.s of Noise A (radiation noise) is 25 µV and Noise B is the noise flow (power source). The r.m.s. input voltage is 0.707 V and it is uniform over the frequency band. The contribution to the r.m.s. noise voltage from thermal noise inside a resistor is given by the following equation, v₁ =√4xkxTxBxR Equation 3 where: V₁= the r.m.s. noise voltage, Volt k = the Boltzmann constant, 1.38×10-23 J/ºK. T = temperature, °K B= frequency bandwidth, Hz R = resistance value of the resistor, (a) Calculate the noise generated from the power supply, Noise B. Assume the equivalent input noise current of the amplifier is negligible, and that room temperature conditions of 22 °C apply. (b) Calculate the total noise in the system. (c) Calculate the Signal to Noise ratio at the output signal (main signal with noise). 4 62 24 Ideal voltage amplifier Input Signal @ Noise A Output Signal Noise B Figure Q3 Noise influence over the amplified main signal
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