Overall Voltage Gain Of Common-Emitter Amplifier Calculator

Formula Used:

\[ Feedback\ Voltage\ Gain = -MOSFET\ Primary\ Transconductance \times \left( \frac{Input\ Resistance}{Input\ Resistance + Signal\ Resistance} \right) \times \left( \frac{1}{Collector\ Resistance} + \frac{1}{Load\ Resistance} + \frac{1}{Finite\ Output\ Resistance} \right)^{-1} \]

MOSFET Primary Transconductance:

Siemens

Input Resistance:

Ohm

Signal Resistance:

Ohm

Collector Resistance:

Ohm

Load Resistance:

Ohm

Finite Output Resistance:

Ohm

Overall Voltage Gain:

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1. What Is The Overall Voltage Gain Of Common-Emitter Amplifier?

The Overall Voltage Gain of a Common-Emitter Amplifier represents the amplification factor of the circuit, indicating how much the input voltage is amplified at the output. It is a crucial parameter in amplifier design and analysis.

2. How Does The Calculator Work?

The calculator uses the formula:

\[ Feedback\ Voltage\ Gain = -g_{mp} \times \left( \frac{R_{in}}{R_{in} + R_{sig}} \right) \times \left( \frac{1}{R_c} + \frac{1}{R_L} + \frac{1}{R_{out}} \right)^{-1} \]

Where:

\( g_{mp} \) — MOSFET Primary Transconductance (Siemens)
\( R_{in} \) — Input Resistance (Ohm)
\( R_{sig} \) — Signal Resistance (Ohm)
\( R_c \) — Collector Resistance (Ohm)
\( R_L \) — Load Resistance (Ohm)
\( R_{out} \) — Finite Output Resistance (Ohm)

Explanation: The formula calculates the voltage gain by considering the transconductance, input signal division, and the combined effect of output resistances.

3. Importance Of Voltage Gain Calculation

Details: Accurate voltage gain calculation is essential for designing amplifiers with desired performance characteristics, ensuring proper signal amplification, and maintaining circuit stability.

4. Using The Calculator

Tips: Enter all resistance values in Ohms and transconductance in Siemens. All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is MOSFET Primary Transconductance?
A: MOSFET Primary Transconductance (g_mp) is the ratio of the change in drain current to the change in gate-source voltage, indicating the amplification capability of the MOSFET.

Q2: Why is the voltage gain negative?
A: The negative sign indicates that the common-emitter amplifier provides a 180-degree phase shift between input and output signals.

Q3: How does load resistance affect voltage gain?
A: Higher load resistance typically increases voltage gain, while lower load resistance decreases it, affecting the amplifier's performance.

Q4: What is the role of finite output resistance?
A: Finite output resistance accounts for the internal resistance of the transistor, influencing the overall gain and output impedance of the amplifier.

Q5: Can this calculator be used for different amplifier configurations?
A: This calculator is specifically designed for common-emitter amplifier configurations using MOSFETs. Other configurations may require different formulas.