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Voltage Gain Using Small Signal Calculator

Voltage Gain Formula:

\[ A_v = g_m \times \frac{1}{\frac{1}{R_L} + \frac{1}{R_{fi}}} \]

Siemens
Ohm
Ohm

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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:

\[ A_v = g_m \times \frac{1}{\frac{1}{R_L} + \frac{1}{R_{fi}}} \]

Where:

Explanation: The formula calculates the voltage gain by considering the transconductance and the parallel combination of load resistance and finite 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, and finite resistance in Ohms. All values must be valid (greater than 0).

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 finite resistance?
A: A finite resistance simply means that the resistance in a circuit is not infinite or zero. In other words, the circuit has some amount of resistance, which can affect the behavior of the circuit.

Q4: When should this formula be used?
A: This formula is used for calculating voltage gain in small signal amplifier circuits where the transconductance and resistances are known.

Q5: Are there limitations to this formula?
A: This formula assumes ideal conditions and may need adjustments for real-world components and circuit non-idealities.

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