Output Voltage At Drain Q1 Of Mosfet Given Common-Mode Signal Calculator

Formula Used:

\[ V_{o1} = \frac{-R_{out} \cdot (g_m \cdot V_{cin})}{1 + (2 \cdot g_m \cdot R_{out})} \]

Output Voltage at Drain Q1:

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1. What is Output Voltage at Drain Q1?

The Output Voltage at Drain Q1 represents the voltage measured at the drain terminal of transistor Q1 in a differential amplifier circuit when a common-mode input signal is applied. This calculation is essential for analyzing the behavior and performance of differential amplifiers.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{o1} = \frac{-R_{out} \cdot (g_m \cdot V_{cin})}{1 + (2 \cdot g_m \cdot R_{out})} \]

Where:

\( R_{out} \) — Output resistance (Ω)
\( g_m \) — Transconductance (S)
\( V_{cin} \) — Common mode input signal (V)

Explanation: This formula calculates the output voltage at the drain of Q1 transistor by considering the output resistance, transconductance, and common-mode input signal in a differential amplifier configuration.

3. Importance of Output Voltage Calculation

Details: Calculating the output voltage at drain Q1 is crucial for analyzing differential amplifier performance, understanding common-mode rejection, and designing stable amplifier circuits with proper signal processing capabilities.

4. Using the Calculator

Tips: Enter output resistance in ohms, transconductance in siemens, and common-mode input signal in volts. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the negative sign in the formula?
A: The negative sign indicates that the output voltage is inverted relative to the input signal, which is typical for common-source amplifier configurations.

Q2: How does transconductance affect the output voltage?
A: Higher transconductance values generally lead to higher gain and larger output voltage magnitudes, but also affect the denominator term in the equation.

Q3: What is the role of output resistance in this calculation?
A: Output resistance determines how much the output voltage drops when current flows through the load, affecting the overall gain and output level.

Q4: When is this calculation most relevant?
A: This calculation is particularly important when analyzing differential amplifiers with common-mode input signals and designing circuits with specific common-mode rejection requirements.

Q5: Are there limitations to this formula?
A: This formula assumes ideal transistor characteristics and may need adjustments for real-world components with non-ideal behavior, temperature variations, and high-frequency effects.