Differential Voltage Gain In MOS Differential Amplifier Calculator

Formula Used:

\[ Differential\ Gain = Transconductance \times \left( \frac{1}{Common\ Emitter\ Current\ Gain \times Resistance\ of\ Primary\ Winding\ in\ Secondary} + \frac{1}{\frac{1}{Common\ Emitter\ Current\ Gain \times Resistance\ of\ Secondary\ Winding\ in\ Primary}} \right) \]

Transconductance (gm):

Siemens

Common Emitter Current Gain (β):

Resistance of Primary Winding in Secondary (R'1):

Ohm

Resistance of Secondary Winding in Primary (R'2):

Ohm

Differential Gain (Ad):

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1. What is Differential Voltage Gain in MOS Differential Amplifier?

Differential Voltage Gain in a MOS Differential Amplifier measures the amplification of the difference between two input signals. It is a key parameter that determines the amplifier's ability to reject common-mode signals while amplifying differential signals.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Differential\ Gain = gm \times \left( \frac{1}{\beta \times R'_1} + \frac{1}{\frac{1}{\beta \times R'_2}} \right) \]

Where:

\( gm \) — Transconductance (Siemens)
\( \beta \) — Common Emitter Current Gain
\( R'_1 \) — Resistance of Primary Winding in Secondary (Ohm)
\( R'_2 \) — Resistance of Secondary Winding in Primary (Ohm)

Explanation: The formula calculates the differential gain by considering the transconductance and the effective resistances in the primary and secondary windings, scaled by the common emitter current gain.

3. Importance of Differential Gain Calculation

Details: Accurate calculation of differential gain is essential for designing and analyzing differential amplifiers, ensuring proper signal amplification and common-mode rejection in various electronic applications.

4. Using the Calculator

Tips: Enter transconductance in Siemens, common emitter current gain, and resistances in Ohms. All values must be positive and non-zero for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is transconductance?
A: Transconductance (gm) is the ratio of the change in drain current to the change in gate-source voltage, indicating the amplifier's gain capability.

Q2: Why is common emitter current gain important?
A: Common emitter current gain (β) affects the amplifier's current amplification and input impedance, influencing the overall gain.

Q3: How do winding resistances affect differential gain?
A: The resistances R'1 and R'2 determine the effective load seen by the amplifier, directly impacting the voltage gain.

Q4: What are typical values for these parameters?
A: Transconductance ranges from microsiemens to millisiemens, β is typically between 50-200, and winding resistances vary based on design and operating conditions.

Q5: Can this calculator be used for all MOS differential amplifiers?
A: This calculator is designed for amplifiers using the specified formula. For different configurations, other formulas may be required.