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Today, we'll discuss current mirrors. Can anyone tell me what a current mirror does?
Is it something that replicates a certain amount of current?
Exactly! Current mirrors are crucial for replicating reference currents in circuits. Remember the term βmirroringββitβs about copying a reference current accurately.
What challenges do we face with current mirrors?
Great question! We often encounter issues like base current loss and early voltage. We can refer to these as non-ideality factors.
What about Beta-helper?
Beta-helper is a technique used to minimize these losses by modifying the transistor configuration. We'll cover more on that soon.
To summarize, current mirrors copy currents but can suffer from non-ideality. Next, we'll delve into how cascode transistors can help.
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Now that we understand the basics of current mirrors, letβs talk about cascode transistors. Why do you think we would add another transistor to a current mirror?
Would it help to improve the output resistance?
Exactly! The addition of a cascode transistor increases output resistance, making the current mirror more effective at maintaining the desired output current.
How do we analyze the circuit performance with this modification?
We can calculate the values of different voltages and currents in the circuit. For example, the gate voltage related to the bias current is crucial here.
What parameters do we need to consider?
Good point! We consider the aspect ratios of the transistors, the bias voltage, and the thresholds. Letβs go through those calculations together.
In summary, using cascode transistors significantly enhances mirror performance, especially in terms of output resistance.
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Next, letβs delve into the numerical examples involving MOSFET configurations in current mirrors.
What specific equations do we use when calculating the bias currents?
We utilize the equation I_DS = K(V_GS - V_th)^2 to determine the drain-to-source current. Remember, K is the transconductance factor!
Whatβs V_GS again?
V_GS is the gate-to-source voltage, critical for setting up the operating point of the MOSFET.
And how do we find the gate voltages?
Great question! We derive the gate voltage from the bias equations, setting the appropriate thresholds. Letβs solve one together.
To summarize, the relationships between V_GS and I_DS are pivotal in MOSFET current mirror designs.
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Now, letβs switch gears and look at BJT current mirrors. How does this differ from the MOSFET version?
I think BJTs might have different current-voltage characteristics?
Exactly! The BJT operates with base-emitter junctions, which is essential to keep in mind. Also, we generally assume V_BE to be around 0.6 volts for silicon BJTs.
How do we handle the biasing for BJTs?
For BJTs, the bias current can be set by resistors biased from a supply voltage. We can analyze this using similar currents to MOSFETs, called collector currents.
What about small signal output resistance for BJTs?
Excellent point! For BJTs, we compute resistance using g_m and r_o, just like in MOSFETs. Calculating the output resistance will reveal the circuit's effectiveness.
In summary, BJT current mirrors parallel MOSFET design principles but need adjustments for their unique characteristics.
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Finally, letβs cover how current mirrors can be used in common source and common emitter amplifiers.
How do current mirrors benefit amplifiers?
Current mirrors act as active loads in amplifiers, which helps increase gain. They ensure a stable operating point for transistors.
What about calculating the voltage gains?
To find gains, we multiply transconductance with load resistance, similar to how we computed in earlier examples.
Can you summarize the steps for me?
Sure! First, calculate the bias currents, then determine transconductance and finally compute voltage gain using regular Ohmβs law.
So, to summarize our session todayβcurrent mirrors, their applications in amplifiers, and how we compute their gains are vital aspects of analog circuits.
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The section provides a detailed look into current mirror circuits, particularly emphasizing the introduction of a cascode transistor to improve output resistance and deal with non-ideality factors such as base current loss and early voltage. It presents step-by-step calculations for both MOSFET and BJT configurations.
This section, delivered by Prof. Pradip Mandal, explores the functionality and optimization of current mirror circuits, an essential component in analog electronic circuits. The focus is primarily on enhancing the output resistance by using cascode transistors, thereby improving circuit performance.
The knowledge imparted in this section is crucial for any aspiring electrical engineer, as understanding current mirrors and their applications lays the groundwork for designing more complex analog circuits.
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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.
In this section, we are reestablishing the conversation about current mirrors, which are essential components in analog circuits. The term 'Beta-helper' implies a method or technique used to enhance the current mirror's performance by addressing base current losses that can affect accuracy. Base current loss refers to the small amount of current that is diverted away from the main current path, which can lead to inaccuracies in the current being mirrored.
Think of a current mirror like a team of workers each tasked with carrying a certain load (current). If some workers divert to other tasks (current losses), the overall load carried can drop. Using 'Beta-helper' is like assigning a supervisor to ensure every worker stays focused on just their load.
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So in the next example, we will see that improvisation of the numeric current mirror circuit to take care of the non-ideality factor due to early voltage. To be more precise, we like to place one cascode transistor here and that improves the output resistance of the current mirror.
Here, we discuss enhancing the current mirror circuit by adding cascode transistors. A cascode transistor helps to increase the output resistance of the current mirror significantly. The term 'Early voltage' refers to a phenomenon in transistors where the effective output resistance decreases when output voltage is increased. By using a cascode configuration, the impact of Early voltage can be reduced, resulting in more stable current mirroring.
Imagine a multi-story building where each floor represents a stage of support for our load (current). If the lower floors are weak, the whole structure may sway with wind (voltage changes). Adding support beams (cascode transistors) reinforces the whole building, making it more stable against those wind fluctuations.
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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. On the other hand for transistor-2 and transistor-3, we do have = 4 mA/V2. This is just for a change, we are using different values of the aspect ratio.
In this part, we describe different transistors in the current mirror and their parameters such as transconductance, which is a measure of how effectively each transistor can control the current based on the applied voltage. The values 1 mA/VΒ² and 4 mA/VΒ² relate to how much current the transistors can handle per volt of gate voltage, and we are varying these to explore different circuit behaviors.
Consider these transistors like different athletes. One athlete (transistor-1) is trained for endurance (1 mA/VΒ²), while the other two (transistor-2 and transistor-3) are sprinters (4 mA/VΒ²). Depending on the race (circuit design), you would choose which athlete to rely on for optimal performance.
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Now we need to find the value of this V and the current flowing here from whatever the voltage 12 V it is given to us and then R, it is given there. To calculate that, in some of our previous examples we have done that this current which is I, it is also creating a drop here...
In this step, students will learn how to apply Ohm's law and circuit analysis principles to calculate voltage drops across components. The voltage drops result from the current flowing through resistors in the current mirror circuit, and understanding these calculations is crucial for predicting circuit performance.
Think of water flowing through pipes. The pressure (voltage) at different parts of the system can drop when it passes through different sections (resistors). By measuring where those drops occur, we can predict how much pressure remains at the output.
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So, we need to find what will be the small signal output resistance. And R is g m3 r o3 r o2 + r o3. Note that r o2 and r o3 we are considering they are synonymous.
This chunk discusses calculating the small signal output resistance of the current mirror circuit. The relationship between transconductance (g) and output resistance (r) is critical for characterizing the circuitβs response to small input signals. The formula provided combines the effects of multiple transistors to yield a total resistance that affects the circuit's performance in small-signal conditions.
Imagine tuning a guitar. The tension on the strings (resistance) needs to be just right to produce the correct sound (small signals). By adjusting the tension and combining the effects of the different strings, you can create harmonious music (optimized circuit performance).
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So, using this output resistance, we can calculate the variation of this current. If we vary this V from 1.2 V to 5.2 V; that means a voltage variation of 4 V.
Here, the relationship between output voltage and current flow is discussed. The higher the output resistance (from the cascode configuration), the less the current variations due to voltage changes in the circuit. Thus, the small-signal characteristics maintain stable performance across voltage fluctuations.
Think of a good manager in a company. When company resources (voltage) fluctuate, a good manager can ensure that employee productivity (current) remains stable despite those changes. Thus, the organization's performance stays consistent regardless of the ups and downs.
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Now so now we obtain, we have solved this part. Next thing is that for V, if it is say 5 V then what do you expect? Here we do have 2.5...
In this final section, we pull together the calculations to illustrate the effectiveness of cascode current mirrors, emphasizing their high output resistance and robustness against voltage changes. We also hint at real-world applications where such circuits improve performance, for example, in amplifiers where maintaining accuracy at various operating conditions is critical.
A well-engineered car suspension system absorbs bumps (voltage variations) while keeping the passengers comfortable (stable current output). In analog circuits, a solid current mirror design ensures that subtle changes won't derail overall performance.
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Key Concepts
Current Mirrors: Key circuits for replicating reference currents in analog circuits.
Cascode Configuration: An effective way of improving output resistance in current mirrors.
Output Resistance: A performance metric that influences the stability and accuracy of current sources.
See how the concepts apply in real-world scenarios to understand their practical implications.
MOSFET current mirror with added cascode transistor showing enhanced output resistance.
BJT current mirror circuit with calculations for bias current and output resistance.
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In circuits both small and grand, the current mirrors take a stand. With a cascode rise, resistance grows, allowing currents to mirror flows.
In a world of electronic circuits, a clever engineer, Sam, wanted to ensure currents in one part always mirrored another. By using cascode transistors, he discovered a way to enhance the resistance, ultimately making his designs more efficient and reliable!
MIRROR: M - Maintain, I - Ideal, R - Replicate, R - Resistive, O - Output, R - Receive.
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Review the Definitions for terms.
Term: Current Mirror
Definition:
A circuit designed to copy (mirror) a current flowing in one active device by controlling the current in another active device.
Term: Cascode Transistor
Definition:
A transistor configuration that improves the output resistance of the current mirror by placing one transistor on top of another.
Term: Transconductance (g_m)
Definition:
The ratio of the change in output current to the change in input voltage, representing how effectively an amplifier can control a current.
Term: Early Voltage
Definition:
A parameter describing the effect of base-width modulation on the output current in bipolar transistors.
Term: Bias Current
Definition:
The current that supports the operation of the main active devices in the circuit.