Differential Amplifier: Neglecting ro, why?

In summary, the output resistance of a differential amplifier with resistive loads can be neglected in calculations because the value of the resistive load is much smaller than the output resistance of the transistors, making it insignificant in the overall calculation. This is because the parallel combination of the two is an impedance much closer to the value of the resistive load, making it the dominant factor in the calculation. It is important to check the values of both components to determine their relative importance in the calculations.
  • #1
hisotaso
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Homework Statement



Pretty straightforward. Attached is a small signal picture of a differential amplifier. Summing currents at the emitter junction, the text says: "Because the transistors have resistive loads, the output resistance will be neglected in the calculations."

Why is this?

Homework Equations





The Attempt at a Solution

 

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  • #2
The true load on one side of the diff amp is Rc in parallel with ro. Often instead of resistor loads (Rc), current sources are used. The equivalent impedance of a current source will be comparable to ro and then the parallel combination will be an impedance much different from the impedance of the current source.

In this case, the value of Rc is probably much less than ro, and the parallel combination of the two will have an impedance not much different than Rc. In other words, ro is so much greater than Rc that including it doesn't change the effective load; the effective load is just Rc.

Check the value of Rc and ro and see which is greater, and how much greater.
 
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1. What is a differential amplifier?

A differential amplifier is a type of electronic amplifier that amplifies the difference between two input signals while rejecting any common-mode signals. It is commonly used in electronic circuits to amplify small signals and reject noise.

2. What is the purpose of neglecting ro in a differential amplifier?

Neglecting ro, or the output resistance of the amplifier, simplifies the analysis of the circuit and allows for easier calculation of the amplifier's gain and other parameters. It is a common assumption made in many circuit designs, but it may not always hold true in practical applications.

3. How does neglecting ro affect the performance of a differential amplifier?

Neglecting ro can lead to errors in the calculated gain and other parameters of the amplifier. However, in many cases, the impact of neglecting ro is minimal and does not significantly affect the overall performance of the amplifier.

4. Are there any drawbacks to neglecting ro in a differential amplifier?

Neglecting ro can result in a less accurate analysis of the amplifier, which may lead to suboptimal circuit designs. In some cases, it may also affect the stability of the amplifier, causing it to oscillate or produce unwanted noise.

5. How can the effects of neglecting ro in a differential amplifier be minimized?

To minimize the impact of neglecting ro, it is important to carefully select the components used in the amplifier circuit and to consider the effects of the output resistance on the overall performance. In some cases, it may be necessary to include ro in the analysis or use alternative circuit designs that do not rely on neglecting ro.

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