Output Voltage Gain Given Transconductance Calculator

Output Voltage Gain Formula:

\[ A_v = -\frac{R_L}{\frac{1}{g_m} + R_{se}} \]

Output Voltage Gain (A_v):

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1. What is Output Voltage Gain?

Output voltage gain is the difference between the output signal voltage level in decibels and the input signal voltage level in decibels. It represents the amplification factor of a circuit or device.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A_v = -\frac{R_L}{\frac{1}{g_m} + R_{se}} \]

Where:

\( A_v \) — Output voltage gain
\( R_L \) — Load resistance (Ω)
\( g_m \) — Transconductance (S)
\( R_{se} \) — Series resistor (Ω)

Explanation: This formula calculates the voltage gain of a circuit considering the load resistance, transconductance of the active device, and any series resistance in the circuit.

3. Importance of Voltage Gain Calculation

Details: Accurate voltage gain calculation is crucial for designing amplifier circuits, predicting signal amplification, and ensuring proper circuit performance in electronic systems.

4. Using the Calculator

Tips: Enter load resistance in ohms, transconductance in siemens, and series resistance in ohms. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is transconductance?
A: Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device.

Q2: Why is the gain negative in the formula?
A: The negative sign indicates that the output signal is inverted (180° phase shift) relative to the input signal, which is typical for common amplifier configurations.

Q3: What is the purpose of the series resistor?
A: Series resistor is a current limiting resistor connected in series with the input voltage. It is used to limit maximum current flowing in a circuit.

Q4: How does load resistance affect voltage gain?
A: Generally, higher load resistance results in higher voltage gain, as more voltage develops across the load for a given current.

Q5: When is this formula typically used?
A: This formula is commonly used in analyzing and designing transistor amplifier circuits, particularly those involving field-effect transistors (FETs).