Design Example
Interactive Audio Lesson
Listen to a student-teacher conversation explaining the topic in a relatable way.
Introduction to Design Specifications
🔒 Unlock Audio Lesson
Sign up and enroll to listen to this audio lesson
Today, we'll be designing a Common-Source amplifier. The specifications we have are a voltage gain of -10 and a drain current of 1mA. Can anyone tell me why these specifications are important?
I guess the voltage gain is essential because we want to amplify the input signal significantly.
Exactly! A negative value indicates a phase inversion. The drain current affects how much current flows through the transistor. Why do we need to set these values?
To ensure the amplifier works in the desired range, I think.
Correct! Setting these values is crucial for achieving our design goals.
Choosing Resistor Values
🔒 Unlock Audio Lesson
Sign up and enroll to listen to this audio lesson
Next, we need to pick our drain resistor, R<sub>D</sub>. Let's say we choose 2kΩ. How does that help us?
It will define the voltage drop across it, which affects our output voltage.
Exactly! With R<sub>D</sub> = 2kΩ, the voltage across it, V<sub>RD</sub>, will be 2V. How does that fit into our supply voltage?
Since V<sub>DD</sub> is 5V, we can calculate the voltage across the transistor.
Right! Now let's see how changing R<sub>D</sub> affects our calculations, especially the voltage gain.
Calculating Transconductance
🔒 Unlock Audio Lesson
Sign up and enroll to listen to this audio lesson
Now, let's calculate the transconductance, g<sub>m</sub>. Does anyone remember how to compute it?
Is it 2I<sub>D</sub> divided by the difference between V<sub>GS</sub> and V<sub>th</sub>?
That's correct! With I<sub>D</sub> = 1mA, we get a rough estimate of g<sub>m</sub> to be around 2mS. What does this value indicate about the amplifier?
Higher g<sub>m</sub> means better amplification, right?
Yes! A larger g<sub>m</sub> increases the voltage gain.
Verifying Voltage Gain
🔒 Unlock Audio Lesson
Sign up and enroll to listen to this audio lesson
Finally, let's verify our voltage gain. Given our calculations, what do we compute for A<sub>V</sub>?
A<sub>V</sub> is -g<sub>m</sub> times R<sub>D</sub>, so it's -4 in our case.
Good! But our target was -10. What conclusions can we draw?
We'll need to implement an active load to achieve the higher gain.
Exactly! Always remember the role of component configurations in enhancing performance.
Introduction & Overview
Read summaries of the section's main ideas at different levels of detail.
Quick Overview
Standard
In this design example, the process of designing a Common-Source amplifier is elaborated with parameters like voltage gain and drain current specified. It includes calculations and considerations for resistor values, resulting in a design that requires further enhancements for desired performance.
Detailed
Design Example Summary
In this section, we explore a practical design example for a Common-Source (CS) amplifier with defined specifications of voltage gain (AV = -10) and drain current (ID = 1mA). The design process begins by selecting the drain resistor (RD) and power supply voltage (VDD). We choose RD to be 2kΩ, yielding a voltage across RD (VRD) of 2V. Next, the power supply is set to VDD = 5V, allowing us to calculate the drain-source voltage (VDS) of 2.5V for optimal Q-point stability.
Following this, we calculate the transconductance (gm) using the formula 2ID/(VGS-Vth), leading to an approximate gm value of 2mS. Finally, the voltage gain verification shows that AV = -gmRD equals -4, revealing that the design does not meet the gain specification. Therefore, it suggests the necessity for an active load to enhance the gain to the required level.
Youtube Videos
Audio Book
Dive deep into the subject with an immersive audiobook experience.
Specifications
Chapter 1 of 5
🔒 Unlock Audio Chapter
Sign up and enroll to access the full audio experience
Chapter Content
- Specs: AV = -10, ID = 1mA
Detailed Explanation
In this chunk, we see the design specifications for the common-source amplifier. The voltage gain (AV) is specified as -10, meaning the output signal will be inverted and scaled down by a factor of 10 compared to the input. The drain current (ID) is set at 1mA, which is important for the operation and performance of the MOSFET used in the amplifier.
Examples & Analogies
Think of a common-source amplifier as a voice amplifier for a speaker. If the speaker wants to convey their message more loudly (gain of -10), they need to prepare their energy (1mA current) accordingly to ensure their message is received clearly by the audience.
Choosing the Drain Resistor
Chapter 2 of 5
🔒 Unlock Audio Chapter
Sign up and enroll to access the full audio experience
Chapter Content
- Choose RD = 2kΩ → VRD = 2V
Detailed Explanation
In the first step of the design, the drain resistor (RD) is selected as 2kΩ. Choosing this resistor determines how much voltage drop occurs across it when current flows through. In this case, with 1mA flowing through the 2kΩ resistor, it results in a voltage drop (VRD) of 2V, which helps set the operating point of our amplifier.
Examples & Analogies
Imagine adjusting the volume of a radio. Choosing the drain resistor is like setting how loud you want the music to play (2kΩ gives us 2V of sound). The volume reflects how much current flows, just as choosing RD impacts the voltage drop and overall sound quality.
Setting the Power Supply Voltage
Chapter 3 of 5
🔒 Unlock Audio Chapter
Sign up and enroll to access the full audio experience
Chapter Content
- Set VDD = 5V → VDS = 2.5V (Q-point)
Detailed Explanation
The next step is to set the power supply voltage (VDD) to 5V. The voltage at the drain-source (VDS) is then calculated as 2.5V. This is crucial as it determines the Q-point (quiescent point) of the amplifier, where it operates ideally without distortion in the linear region of the transfer characteristics.
Examples & Analogies
Think of VDD as the height of a water tank. By setting it to 5V, you ensure there is enough 'water' (voltage) to drive the system. The Q-point (2.5V) is like the ideal level that keeps the flow steady without overflowing or running dry.
Calculating Transconductance
Chapter 4 of 5
🔒 Unlock Audio Chapter
Sign up and enroll to access the full audio experience
Chapter Content
- Calculate gm = 2ID/(VGS-Vth) ≈ 2mS
Detailed Explanation
In this step, we calculate the transconductance (gm) using the formula provided. This value measures how effectively the amplifier can control the output current with changes in the input voltage. It is estimated to be around 2mS, indicating the capability of the MOSFET in translating input changes into output variations.
Examples & Analogies
Consider gm as the sensitivity of a dimmer switch. Just like a dimmer adjusts the brightness level with slight turns (input voltage), gm indicates how much the output (brightness) changes in response to the slight adjustments at the input.
Verifying Voltage Gain
Chapter 5 of 5
🔒 Unlock Audio Chapter
Sign up and enroll to access the full audio experience
Chapter Content
- Verify AV = -gmRD = -4 → Need active load for higher gain
Detailed Explanation
Finally, we verify the voltage gain (AV) using the calculated gm and the drain resistor (RD). The calculation shows that AV equals -4, which is less than the desired gain of -10. This indicates that to achieve a higher gain, we may need to implement additional strategies like using an active load.
Examples & Analogies
Imagine trying to shout across a loud room (achieving your desired gain of -10). If your voice (AV) is only reaching -4, this suggests that speaking louder or adding a microphone (active load) might be necessary to be heard clearly by everyone in the room.
Key Concepts
-
Design Specifications: The importance of setting AV and ID for designing amplifiers.
-
Voltage Gain: How AV relates to amplifier performance.
-
Resistor Selection: The role of RD in determining voltage drop and amplification.
-
Transconductance: Its definition and impact on voltage gain.
Examples & Applications
Selecting RD = 2kΩ for a 1mA current results in a voltage drop of VRD = 2V.
Calculating gm gives a value necessary to verify the target AV required for amplifier performance.
Memory Aids
Interactive tools to help you remember key concepts
Rhymes
In a CS amp with voltage gain of ten, RD is your friend, design again!
Stories
Imagine you’re in a lab, picking components. The specs whisper to you, 'Choose your resistors with care; RD at 2k will give you bearable air!'.
Memory Tools
G/R = Gain over Resistor. For CS amps, remember: Gain must be greater than the rest!
Acronyms
AVOID - A for Amplifier, V for Voltage, O for Output, I for Input, D for Design.
Flash Cards
Glossary
- CommonSource (CS) Amplifier
A type of amplifier configuration that inverts and amplifies the input signal.
- Transconductance (g<sub>m</sub>)
A measure of how effectively a transistor can control the output current with respect to the input voltage.
- Drain Resistor (R<sub>D</sub>)
The resistor through which the drain current flows to develop an output voltage.
- Voltage Gain (A<sub>V</sub>)
The ratio of the output voltage to the input voltage, often represented as a negative value in inverting amplifiers.
Reference links
Supplementary resources to enhance your learning experience.