Pl is the load power, calculated by
and Pin is the input power, calculated by
Pin = Vin^2/Rin
Rin being the input resistance.
Pl = Vpp^2/8Rl
When the voltage gain is known, another equation that can be used is
Ap = Av^2(Rin/Rl)
Ap = 1(10k/100)
Ap = 100
The AC and DC load line
During the positive half cycle of ac source voltage, the collector voltage swings from the Q-point towards saturation. During the negative half cycle, the collector voltage swings from the Q-point towards cutoff.
Maximum output voltage can be achieved when the Q-point is at the center of the AC load line. This differs from the DC load line in amplifiers (common emitter for example) because the DC and AC collector resistances are not equal. The DC collector resistance is simply the collector resistance, where the AC collector resistance is the collector resistor in parallel with the load resistance.
In the image of the AC load line for a CE amplifier, point a is the AC saturation point, and is calculated by
Icq + (Vceq/Rc)
and point b is the AC cutoff, calculated by
Vceq + IcqRc
DC quiescient power
Pdq = (Icq)(Vceq)
This is saying the power dissipation of a transistor with no signal input will just be the product of q-point Ic and Vce. Class A power amplifiers must maintain a quiescient current that is at least as large as the peak current requirement for the load current. The output power is
Pout = Vl(rms)Il(rms)
This formula can be used to determine the output power maximum.
Pout(max) = .5(Vceq)(Icq)
The Efficiency of an amplifier is the ratio of the signal power to the load, to the power supllied from the DC source.
%Eff(max) = (Pout/Pdc)100
Classifications of Power Amplifiers
Amplifiers operating solely in the linear region are known as Class A amplifiers. They are usually mid-point biased to maximize the available gain. Any distortion or clipping is undesired. They are usually constructed in a common-emitter or common-source configuration. The amplifier conducts for the full 360 degrees of the input cycle, always in the linear region, and the output wave is 180 degrees out of phase with the input. Class A efficiency is usually around 25%.
Class B amplifiers have the q-point at cutoff. For this reason, they operate for 180 degrees of the input signal, and since Icq = 0 and Vce = Vce(cutoff), the transistor is not conducting until an AC signal is applied. Two transistors are usually used in class B amplifiers to create a push-pull configuration. Each transistor conducts for 180 degrees of the input signal, and the full signal is sent to the load. Class B amplifiers have a 79% maximum efficiency.
Bipolar junction transistors have the .7 (silicon) or .3 (germanium) volt drops that must be overcome, or the signal becomes distorted as it flips between the two transistors. This is known as crossover distortion. Diode biasing can be used to overcome it. The diodes compensate for the base-emitter voltage drops and produce a undistorted signal.
Class AB is a modified form of Class B push-pull operation when biasing resistors are used to put the push-pull stages into slight conduction, even when there is no input signal applied.
Basic Class C amplifiers are biased so they conduct for even less than 180 degrees of the input cycle. More power can be obtained, but the output is very distorted, and so Class C is used more often in RF applications. They are biased way below cutoff, and therefore much less heat is generated from this momentary conduction. A negative voltage is applied from the base, and the transistor conducts only when Vin exceeds this negative voltage and the voltage from the base to the emitter.
Power dissipation is very low for a class C, and can be found through
Pd(avg) = (time on/T)(Vce(sat)Ic(sat))
Remembering that the voltage drop across a transistor is around .2 volts, this will usually be a pretty small amount.