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Small Signal Amplifiers Questions and Answers

Answer: C

Series feedback makes the stage's gain depend on a resistor ratio rather than on the device's curved characteristic, so the non-linearity is divided down along with the gain. The amplitude at the base is actually reduced as a consequence, which is part of the same effect rather than a separate one. It does not change the current or filter anything. Feedback trades gain for every kind of accuracy at once, and linearity is one of the benefits.

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Answer: D

At useful frequencies shot noise in the junction currents sets the floor, with thermal noise in the base spreading resistance contributing as well. Flicker noise matters only at low frequencies, divider thermal noise can be made small by design, and quantisation noise belongs to digital coding entirely. Identifying which mechanism dominates decides where design effort belongs, and in a bipolar front end it is the operating current. A single measurement chosen to respond to the one asymmetry beats several that respond to shared behaviour. A single measurement chosen to respond to the one asymmetry beats several that respond to shared behaviour.

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Answer: A

Raising the current increases the shot noise but lowers the equivalent input noise resistance, so the optimum depends on the source impedance the stage works from. Neither extreme is universally better. Noise is certainly current-dependent. A parameter with an optimum rather than a direction is one where the source impedance has to be known before the design can be settled, which is why low-noise design begins with the source. The parameter that varies and the parameter that does not are worth naming before any substitution is attempted. The parameter that varies and the parameter that does not are worth naming before any substitution is attempted.

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Answer: B

Referring the noise to the input removes the gain from the comparison, so two amplifiers of different gain can be judged on the same footing. Distortion, bias and bandwidth are all specified separately. Referring an imperfection to the input is a general technique, and it works because everything at the input is multiplied by the same gain as the signal.

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Answer: C

A low source resistance generates little thermal noise of its own, so the amplifier's fixed input noise voltage becomes a large fraction of the total and the ratio degrades. Loading and capacitor reactance affect the signal rather than the noise ratio. Noise figure is always a comparison against what the source itself contributes, which is why the same amplifier can look excellent on one source and poor on another. Framing the question as which quantity the change acts upon makes the answer follow without calculation. Framing the question as which quantity the change acts upon makes the answer follow without calculation.

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76.

A stage has a gain of \( 100 \) and an output noise of \( 1 \ \mathrm{mV} \). Its equivalent input noise is

Answer: D

Referring the output figure back through the gain:

\[ v_{n} = \frac{1 \ \mathrm{mV}}{100} = 10 \ \mathrm{\mu V} \]

giving 10 microvolts. Multiplying rather than dividing gives 100 millivolts, which would be an absurdly noisy amplifier. Referring a quantity to the input always divides by the gain, and checking the answer for plausibility catches the direction error at once.

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77.

A signal of \( 5 \ \mathrm{mV} \) is applied to a stage of gain \( -180 \). The output is

Answer: A

Multiplying amplitude by gain and noting the sign:

\[ v_{o} = -180 \times 5 \ \mathrm{mV} = -0.9 \ \mathrm{V} \]

so 0.9 volts, inverted. The magnitude alone is not the whole answer in a common-emitter stage, where the inversion matters as soon as the stage is placed in a feedback loop or cascaded. Carrying the sign through rather than taking magnitudes is a habit worth keeping.

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Answer: B

Five millivolts is a fifth of the twenty-six millivolt thermal voltage, so the exponential is well approximated by its tangent and the small-signal analysis holds. The output amplitude is irrelevant to the question, which concerns the excursion at the device. A one-millivolt threshold is arbitrary. Judging smallness against the thermal voltage rather than against a fixed figure is what makes the criterion meaningful. The parameter that varies and the parameter that does not are worth naming before any substitution is attempted. The parameter that varies and the parameter that does not are worth naming before any substitution is attempted.

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Answer: C

At twice the thermal voltage the exponential curvature is plainly significant and the output acquires substantial harmonic content, so the small-signal model no longer predicts the waveform. The gain does not rise usefully, the capacitors are unaffected by amplitude, and the input impedance change is a second-order effect. Knowing where a model stops being valid is more useful than knowing the model, because that boundary is where real circuits get designed.

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Answer: D

Higher current means a smaller intrinsic emitter resistance and so a larger gain from the same collector resistor. It uses more of the supply in the collector resistor's drop, demands a larger bypass capacitor because the emitter resistance is lower, and reduces the input impedance. One change improving one specification while worsening three is the normal case, and the design question is only which of the four matters most. Framing the question as which quantity the change acts upon makes the answer follow without calculation. Framing the question as which quantity the change acts upon makes the answer follow without calculation.

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