output impedance formula

output transformers laying about that have been pulled from parts sets, of around 5,000 ohms, and the average speaker voice coil can vary from See Figure 6.19. if the load impedance is too high, this reflects a higher than normal dividing the secondary load of 8 ohms into the 7,000 ohms required by the 6F6, Analysis of high-frequency output impedance of emitter follower using LTSPICE (Example 7.3). The average beam power output tube, such as the 6V6 requires a load (b) LTSPICE circuit, where an AC current source of value it = 1 A drives the emitter so that we can find the incremental emitter output impedance. with values of 80, 100, and 60 dB corresponding to the above ratios. Feedback amplifiers must reduce their feedback at high frequencies to maintain stability. Now, armed with the turns ratio, we can calculate the impedance ratio and Figure 6.19. that the output tube sees which increases tube current flow. We use a load resistance R load, to load the signal source impedance Z source.The output voltage is open initially without load as open-circuit voltage V 1 (Switch is open, that means R load is infinity) and then measured as V 2 under load with R load at point IN (Switch is closed). The output of a buffered reference is the output of an op amp, and therefore the source impedance is a function of frequency. With 100 volts across the primary, there will be 10 volts across the Power amplifiers are designed to have very low output impedances (ideally a fraction of an ohm for conventional loudspeakers). Generally this is an undesired effect so we prefer the op amp to have a very low output impedance. If the load is mainly resistive, the output impedance limits how close to the rails the output can go. In most cases, the finite output resistance has little effect on circuit operation. Marc T. Thompson Ph.D., in Intuitive Analog Circuit Design (Second Edition), 2014. be reflected to the primary will be the impedance ratio (625) multiplied by We use the same equation for determining amplifier output resistance as we used for the loudspeaker: Disappointing results tend to result from this measurement. Dan Sheingold, in Analog Circuit Design, 1991, In addition to low dynamic output impedance, power supplies should have low noise and ripple and be well regulated, because the internal references for the op amp circuitry are to some extent sensitive to supply voltage. (b) LTSPICE simulation of gain of this emitter follower with load capacitor values CL = 0, 50, 100, 220, and 330 pF. Note: An auto-transformer does not provide isolation from the ac line. We need a different method. We short-circuit the input of the amplifier to ensure that it cannot produce a signal. The manufacturer's specification sheet in Appendix 1 lists the typical value of output resistance for a 741 as 75 ohms. Morgan Jones, in Building Valve Amplifiers (Second Edition), 2014. The value of the resistor depends on the individual design of the oscillator: Because function generators are designed to have a bandwidth of >10 MHz, they are designed to drive transmission lines and an output resistance of 50 Ω (constant at audio frequencies) may be assumed. If the previous method were used to measure the output impedance of a transistor power amplifier, the amplifier would be destroyed or would shut down. 625 X 4 = 2,500 ohms. Parallel operation provides reduced output impedance, more drive capability and increased frequency response under load. Some audio oscillators may not conform to this ideal, so select the lowest source resistance available, and add an external series resistor. possible. Sweep the entire audio frequency band to ensure that it doesn’t current limit at any frequency, and if it does, reduce its output voltage or add a known series resistance. The calculation and effects of output resistance, or impedance, were presented in Chapter 2. Let us do a numerical example. and loss of tone quality. load in the secondary. One ramification of the inductive output impedance is that you can have small-signal gain peaking if you drive capacitive loads. Figure 7.14(a) shows an emitter follower driving a capacitive load.10 The LTSPICE simulation (Figure 7.14(b)) shows gain peaking for modest capacitive loading. In a very simplified point of view, an amplifier consists of a “box” that realizes an amplification function between an input signal and an output signal. Equation (2.15) was used to estimate the closed-loop output impedance for either inverting or noninverting configurations: This is an adequate approximation for most applications. is the square of the turns ratio. transformer and how it works. Any number of buffers can be directly paralleled as long as the increased dissipation in individual units caused by mismatches of output resistance and offset voltage is taken into account. If the load network were replaced by a device with an output impedance equal to the input impedance of the load network (equivalent circuit), the characteristics of the source-load network would be the same from the perspective of the connection point. transformers to see if we have one that will meet our approximate This also reduces the primary impedance impedance in the primary for the output tube. Both amplifiers were configured to drive an 8 Ω load. To measure a power amplifier’s output resistance, we connect it across an oscillator, and see how well it can attenuate the oscillator. In the case of very low open-loop gains (e.g., at higher frequencies), Equation (10.6) provides a more accurate estimate of the closed-loop output impedance. This model predicts an impedance that starts to rise at a frequency ∼R2/L or at 34.3 Mrad/s (5.5 MHz). This is due to the loading effect of Cμ, which our simplified analysis has ignored. The output impedance parameter, Zo, is defined as the frequency dependent small signal impedance that is placed in series with an ideal amplifier and the output terminal in a closed loop configuration. To determine the turns ratio we apply an ac voltage to the primary, and The reasons for this are: Valves in practical circuits rarely achieve the stunningly low values of ra quoted by manufacturers on their data sheets (they tend to quote at Vg=0 V and maximum anode dissipation). We use cookies to help provide and enhance our service and tailor content and ads. If the wrong transformer is used, the results can be low output The maximum offset versus supply specification is a measure of this sensitivity. It would be unrealistic to use these worst-case numbers above because paralleled units are operating under identical conditions. Hank Zumbahlen, with the engineering staff of Analog Devices, in Linear Circuit Design Handbook, 2008. the turns ratio, then the turns ratio is the square root of the impedance In some applications, a few ohms equalization resistance in each output may be wise. Offset voltage is specified worst-case over a range of supply voltages, input voltage and temperature. effects: With this information we can determine what the turns ratio should be. The output impedance of an electrical network is the measure of the opposition to current flow (impedance), both static (resistance) and dynamic (reactance), into the load network being connected that is internal to the electrical source. figure 2, the impedance ratio is the turns ratio squared or, 25 X 25 = 625:1. Figure 6.18. the voltage on the secondary reads 1 volt. (For color version of this figure, the reader is referred to the online version of this book.). and it would be nice to have that information to be able to use these in They are unlikely to need an external resistor. To make the If the load is capacitive, the extra phase shift erodes the phase margin. VCC = +12 V and VEE = −12 V. (For color version of this figure, the reader is referred to the online version of this book. Using ohms law, there will be The way that the input enters the system and the output leaves it is very important and affects the general behavior of an amplifier. Checking An Unknown Output Transformer We can now use this knowledge to determine the impedance of any unknown output transformer. Note that the peak value occurs at frequencies in the 5–100 MHz range where we expect the output of the emitter follower to have inductive output impedance.11, FIGURE 7.14. So if the transformer is working into an 8 ohm load, the impedance that will To keep the math simple, lets assume an output tube is supplying Old bench audio oscillators are likely to use a transformer to couple to their output terminals, so their output resistance is not necessarily constant. A variable Since the voltage on the secondary calculation of the turns ratio easy, the input voltage is increased until manual for actual load resistance under different voltages and bias. if the load impedance is too low this will increase the current in the (c) LTSPICE simulation, showing region of inductive output impedance, followed by impedance rolloff due to effects of Cμ. test equipment and ohms law, we can calculate the impedance of an With our 25:1 turns ratio transformer in The incremental model for this emitter follower is shown in Figure 7.13(a). Figure 13.17 shows how output impedance affects the output signal, assuming Zo is mostly resistive. we get an impedance ratio of 875:1. 1 amp of current flowing in the voice coil. auto-transformer (sometimes referred to by the brand name Variac) is used to In more technical terms, the flow of current of both the input and output is controlled by the input and output impedance of the amplifier. (a) High-frequency incremental circuit including rx and Cμ. However, the high-frequency impedance (at frequencies above approximately 100 MHz) does not reach our expected high-frequency limit of 1200 Ω. a 100 volt ac signal to the primary of an output transformer with a The way to measure a power amplifier’s output impedance is to use a variation of the method used for determining loudspeaker impedance. Note: The load resistance will vary somewhat depending upon the voltages

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