Voltage Gain Of Amplifier With Current-Source Load Calculator

Voltage Gain of Amplifier Formula:

\[ A_v = -g_m \times \left( \frac{1}{R_{f2}} + \frac{1}{R_{o2}} \right) \]

Transconductance (g_m):

Siemens

Finite Output Resistance 1 (R_f2):

Ohm

Finite Output Resistance 2 (R_o2):

Ohm

Voltage Gain of Amplifier (A_v):

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1. What is Voltage Gain of Amplifier?

The voltage gain of an amplifier is the ratio of the output voltage to the input voltage. It measures the degree of amplification provided by the amplifier circuit and is a critical parameter in amplifier design and analysis.

2. How Does the Calculator Work?

The calculator uses the voltage gain formula:

\[ A_v = -g_m \times \left( \frac{1}{R_{f2}} + \frac{1}{R_{o2}} \right) \]

Where:

\( A_v \) — Voltage gain of amplifier (V/V)
\( g_m \) — Transconductance (Siemens)
\( R_{f2} \) — Finite output resistance 1 (Ohm)
\( R_{o2} \) — Finite output resistance 2 (Ohm)

Explanation: The negative sign indicates phase inversion. The formula calculates the voltage gain based on transconductance and the parallel combination of two finite output resistances.

3. Importance of Voltage Gain Calculation

Details: Accurate voltage gain calculation is essential for amplifier design, signal processing applications, and ensuring proper circuit performance in electronic systems.

4. Using the Calculator

Tips: Enter transconductance in Siemens and both finite output resistances in Ohms. All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What does the negative sign in the formula indicate?
A: The negative sign indicates that the amplifier provides a 180-degree phase shift between input and output signals (phase inversion).

Q2: What is typical transconductance range for amplifiers?
A: Transconductance values typically range from microsiemens (μS) to millisiemens (mS) depending on the amplifier type and design.

Q3: How do finite output resistances affect voltage gain?
A: Lower output resistances generally result in higher voltage gain, as they provide better current sourcing capability to the load.

Q4: Can this formula be used for all amplifier types?
A: This specific formula is designed for amplifiers with current-source load configurations. Different amplifier topologies may require different gain formulas.

Q5: What are practical applications of this calculation?
A: This calculation is used in audio amplifiers, RF amplifiers, operational amplifier design, and various signal processing circuits where precise voltage amplification is required.