Voltage gain formula for common emitter amplifier

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The common-emitter (CE) transistor amplifier configuration is widely used. It provides large voltage gain (typically tens to hundreds) and provides moderate input and output impedance. The AC signal voltage gain is defined as A v = V o /V i where V o and V i can both be rms, peak, or peak-peak values.
 

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Unlike the other amplifier configurations, where voltage gain was either set by the ratio of two resistors (common-emitter) or fixed at an unchangeable value (common-collector), the voltage gain of the common-base amplifier depends largely on the amount of DC bias on the input signal. BJT Common Emitter Amplifier with emitter degeneration. A basic BJT common emitter amplifier has a very high gain that may vary widely from one transistor to the next. The gain is a strong function of both temperature and bias current, and so the actual gain is somewhat unpredictable. The bias voltage is amplified by the closed-loop dc gain of the amplifier. This process can take a long time. For example, an amplifier with a field-effect-transistor (FET) input, having a 1-pA bias current, coupled via a 0.1-μF capacitor, will have a charging rate, I/C, of 10 –12 /10 –7 = 10 μV/s, or 600 μV per minute. If the gain is 100, the output will drift at 0.06 V per minute. The most basic form of common emitter amplifier design is the simple logic buffer / output, consisting of a transistor and a couple of resistors. This can have a few extra components added to enable it to become an AC coupled amplifier with DC biasing and emitter bypass resistor. Common base( CB) Transistor gives high current gain but low voltage gain. In another side, common collector( CC) transistor gives high voltage gain but low current gain. In CE transistor it gives high current gain and high voltage gain. This is the main reason for use in a most amplifying circuit.
 

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Apr 23, 2018 · i understand now that it is because we're looking from the emitter point of view but how do we determine when to look at the circuit from the emitter or the base point of view ? because of this now we have two equations for the voltage gain Av = β rc / rb and Av = rc / re and of course their results are different

oFocus on fundamental transistor amplifier configurations 3. How to establish a Bias point (bias is the state of the system when there is no signal). oStable and robust bias point should be resilient to variations in µ n C ox (W/L),V t (or β for BJT) due to temperature and/or manufacturing variability. Apr 23, 2018 · The current gain for common-emitter is equal to β = Ib/Ic for a ideal case. For this amplifier The current gain is less than the beta because some part of an input current flows into RB resistor. So the base current is not equal to Iin. Ai = Io/Iin = RB/(Rb + r_pi)*β Also adding the load resistance reduces the current gain

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It is clear therefore that the common-emitter gain, hFE, is much more sensitive to small-order effects than the common-base gain, h FB. For a pnp transistor the characteristics of the common-emitter circuit are the same, except that the polarity of all voltages and currents are again in reverse order to that shown in Figure 2.69 . Transistor Amplifier Configurations Common Emitter and Common Source Portion due to bias circuitry Portion due to transistor Portion due to bias circuitry Portion due to transistor r g m v R or g m v gs in r Rc R out r is replaced with an open circuit for the MOSFET casecircuit for the MOSFET case Previously, we have analyzed voltage gain.