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Welcome students! Let's delve into the current mirror circuits. Can anyone tell me what a current mirror is used for?
Isn't it used to replicate a current in another part of the circuit?
Exactly! A current mirror is crucial in analog design for maintaining a constant current. Remember the acronym 'MIRROR' for 'Maintain/Isochronous Reference Output.' Now, why do you think knowing the output resistance is important?
I think it affects how closely the mirrored current follows the reference current, right?
Right, Student_2! High output resistance minimizes the impact of load changes. Let's move on to how we can enhance it. What do you know about cascode configurations?
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Cascode transistors can greatly improve our circuit! Can anyone share what they believe is the advantage of using them?
I think they help in increasing the output resistance by keeping the transistors in saturation, right?
Spot on! Cascode allows us to enhance the output resistance significantly. Remember our mnemonic 'CASCADE' = 'Current Amplification Stabilizes Circuit Dynamics and Efficacy.' Now letβs look at our example involving MOSFET configurations.
What changes do we typically make when switching to BJTs for mirroring?
Good question! While both can achieve similar outcomes, BJTs dealing with bias currents need special attention. We'll utilize these differences to see how our calculations change.
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Current mirrors aren't just theoretical. Where have you seen them used?
In amplifiers! They help in setting up active loads.
Exactly! They increase the gain while reducing distortion. Can someone summarize how a current mirror operates in this context?
It mirrors the biasing current, ensuring both transistors remain in the active region.
Well summarized! Understanding its functionality will aid us in designing robust amplifiers. As a reminder, be sure to keep in mind how the specifics of the current mirror affect the overall performance of the circuit.
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Now, let's tackle some calculations. Who can recall the formula for finding output current in a current mirror?
I think it involves the aspect ratios and the reference current?
Yes! The output current is proportional to the aspect ratios compared to the reference. Here's a hint: 'A = width/length ratio.' Anyone know how to set bias levels?
By ensuring the gate voltage is high enough?
Correct! This ensures the transistor operates within the saturation region. Understanding this leads to calculating small signal output resistance, which is crucial for linearity in amplifiers.
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In this section, we dive into the current mirror circuit, illustrating how the inclusion of cascode transistors enhances the circuitβs output resistance and performance. We use practical numerical examples to differentiate between MOSFET and BJT configurations, addressing issues related to non-ideality factors such as Early voltage and base current loss.
In this section, the focus is on current mirror circuits, which are essential in analog electronic circuits for mirroring current from a reference branch to a load. The section initiates with a discussion on the common issues plaguing current mirrors, such as non-ideality factors including base current loss in BJTs and Early voltage in MOSFETs.
With the introduction of cascode transistors, the section elaborates on how to improve the output resistance of the current mirror, allowing for better performance in various applications. Numerical examples underscore the differences between MOSFET and BJT configurations, emphasizing the need for appropriate biasing to maintain operational regions in transistors.
Through calculations, students learn to derive critical parameters such as output voltage, current values, and small-signal output resistance. The section concludes with applications of current mirrors in active loads for various amplifier configurations, highlighting their versatility and significance in analog circuit design.
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So dear students welcome back after the break. So, before the break we are talking about the numerical examples of the current mirror. As you can see here, and there we have used Beta-helper to improve the non-ideality factor coming due to the base current loss namely, this base current loss.
The current mirror is an essential circuit used in analog electronics to copy or 'mirror' a current from one branch to another. Before continuing with numerical examples, it is necessary to understand that current mirrors can have ideal and non-ideal behaviors. The introduction here mentions the use of a Beta-helper, which is a technique used to reduce errors caused by base current losses in BJTs, ensuring more consistent current mirroring.
Think of a current mirror like a photocopy machine. When you make a photocopy, you want the new copy to look exactly like the original. However, sometimes, the copy may have smudges or incorrect shadingβthat's like the errors (or non-ideality) in a current mirror. To fix this, we might use additional corrective measures, like a Beta-helper, similar to cleaning the scanner to achieve a better copy.
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So in the next example, we are starting with MOSFET version and then after that we will go to the BJT version. And so, here transistor-3 it has been added on the main current mirror. So, the main current mirror it is constructed by M1 and M2....
In this part, the structure of the current mirror is explained, particularly focusing on the addition of transistor-3 to enhance performance. This technique involves using a cascode transistor, which helps to increase the output resistance of the circuit. Higher output resistance is desirable because it makes the current mirror less sensitive to changes in output voltage.
Imagine a water fountain that sprays water consistently. If it's affected by wind (like voltage changes), it may spray unevenly. By adding a shield (the cascode transistor) around the pump, the fountain maintains its spray pattern even if the wind shifts, originating from the current mirror's improved performance.
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Now coming to the different sizes of different transistors given here, we do have for transistor-1, we do have the it is 1 mA/V2....
This section discusses specific parameters of the transistors used in the current mirror, such as their transconductance (denoted as 'K') and threshold voltage. Knowing these values helps to calculate the necessary gate voltages and to analyze the behavior of the circuit under various conditions. For instance, the value of 'K' determines how much the output current will change in response to a change in gate voltage.
Think of transconductance like the relationship between gas pedal pressure and car speed. If the pedal (input voltage) is pushed lightly, the speed (output current) changes minimally. If pushed hard, the speed changes significantly. By calculating the precise 'pressure' needed, one can control the 'speed' more effectively in the circuit.
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Now we need to find the value of this VGS1 and the current flowing here from whatever the voltage 12 V it is given to us....
This part of the text highlights how to calculate voltages and currents in the circuit. The process involves using known values and relationshipsβlike Ohmβs Law and the characteristics of MOSFETsβto find the output voltage across one of the transistors and the resulting current flowing through the circuit. Understanding these relationships is crucial for accurate circuit analysis.
Imagine you are filling a balloon with air. The voltage is like the air pressure you're applying to the balloon. The amount of air that actually fills the balloon (the current) will depend on the pressure and the balloon's material. By knowing how much pressure you can apply and how the balloon behaves, you can predict how inflated it will getβa similar approach is taken to determine voltage and current in the circuit.
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So, we need to find what will be the small signal output resistance....
The chapter transitions into calculating the small-signal output resistance of the current mirror. This output resistance indicates how much the output current will change in response to changes in output voltage, which is a critical factor in determining the performance of the current mirror in applications. A high output resistance suggests that the current is well-regulated and less sensitive to voltage variations.
Consider a tightly controlled water valve. If you slightly turn the handle (voltage change), you only want a tiny amount of water to flow out (current change) to keep the system stable. A very high output resistance resembles a highly effective valve that ensures consistent output, maintaining the desired flow regardless of minor adjustments.
Learn essential terms and foundational ideas that form the basis of the topic.
Key Concepts
Current Mirror: A fundamental circuit that mirrors a reference current.
Cascode Configuration: Enhances output resistance and improves circuit performance.
Saturation Region: Critical for ensuring transistors operate correctly within their limits.
Output Resistance: Vital for determining the stability of the mirrored current.
Base Current Loss: A factor to consider when dealing with BJTs in current mirrors.
See how the concepts apply in real-world scenarios to understand their practical implications.
Example 1: Calculating the output current in a MOSFET current mirror given specific aspect ratios.
Example 2: Finding the output resistance of a BJT current mirror.
Use mnemonics, acronyms, or visual cues to help remember key information more easily.
In circuits where currents must align, a mirror makes them truly shine!
Imagine two rivers, one strong and steady. A bridge (the current mirror) allows a weaker one to flow just like the strong one, ensuring no current is wasted.
Remember 'C.A.R.E.' for Current mirror: Cascoding, Aspect ratio, Resistance, and Efficiency.
Review key concepts with flashcards.
Review the Definitions for terms.
Term: Current Mirror
Definition:
A circuit configuration that replicates a reference current through one or more output branches.
Term: Cascode Transistor
Definition:
A transistor configuration used to improve output resistance and stability in amplifiers or current mirrors.
Term: Saturation Region
Definition:
The operational state of a transistor where it allows current to flow freely between its terminals, resulting in maximum output current.
Term: Output Resistance
Definition:
The resistance seen by the load from the output terminal of a circuit, representing how much the output current varies with changes in output voltage.
Term: Base Current Loss
Definition:
A loss of current in a BJT current mirror due to the current required by the base terminal to maintain operation.
Term: Early Voltage
Definition:
A parameter in MOSFETs that represents the increase in output voltage due to a change in output current, affecting output resistance.