Voltage Gain For Small Signal Calculator

Voltage Gain Formula:

\[ A_v = \frac{g_m \cdot \left( \frac{1}{\frac{1}{R_L} + \frac{1}{R_d}} \right)}{1 + (g_m \cdot R_{si})} \]

Transconductance (g_m):

Load Resistance (R_L):

Drain Resistance (R_d):

Self Induced Resistance (R_si):

Voltage Gain (A_v):

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1. What is Voltage Gain?

Voltage gain is a measure of the amplification of an electrical signal by an amplifier. It is the ratio of the output voltage to the input voltage of the circuit, expressed in decibels (dB).

2. How Does the Calculator Work?

The calculator uses the Voltage Gain formula:

\[ A_v = \frac{g_m \cdot \left( \frac{1}{\frac{1}{R_L} + \frac{1}{R_d}} \right)}{1 + (g_m \cdot R_{si})} \]

Where:

\( A_v \) — Voltage Gain
\( g_m \) — Transconductance (Siemens)
\( R_L \) — Load Resistance (Ω)
\( R_d \) — Drain Resistance (Ω)
\( R_{si} \) — Self Induced Resistance (Ω)

Explanation: The formula calculates the voltage gain by considering the transconductance and the parallel combination of load and drain resistances, adjusted by the self-induced resistance.

3. Importance of Voltage Gain Calculation

Details: Accurate voltage gain calculation is crucial for designing and analyzing amplifier circuits, ensuring proper signal amplification and system performance.

4. Using the Calculator

Tips: Enter transconductance in Siemens, load resistance in ohms, drain resistance in ohms, and self-induced resistance in ohms. All values must be valid (positive numbers).

5. Frequently Asked Questions (FAQ)

Q1: What is transconductance?
A: Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.

Q2: What is load resistance?
A: Load resistance is the external resistance connected between the drain terminal of the MOSFET and the power supply voltage.

Q3: What is drain resistance?
A: Drain Resistance is defined as the resistance opposing the flow of current through the drain of the transistor.

Q4: What is self-induced resistance?
A: Self Induced Resistance is the internal resistance that occurs due to the presence of the FET's own charge carriers (electrons or holes).

Q5: When should this formula be used?
A: This formula is used for calculating voltage gain in small signal amplifier circuits using field-effect transistors (FETs).