Current Gain Of Controlled Source Transistor Calculator

Current Gain Formula:

\[ A_i = \frac{1}{1 + \frac{1}{g_{mp} \times R_{dg}}} \]

Current Gain (A_i):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Current Gain of Controlled Source Transistor?

Current Gain of Controlled Source Transistor represents the ratio of output current to input current in a MOSFET amplifier configuration. It quantifies the amplification capability of the transistor circuit when configured as a controlled current source.

2. How Does the Calculator Work?

The calculator uses the current gain formula:

\[ A_i = \frac{1}{1 + \frac{1}{g_{mp} \times R_{dg}}} \]

Where:

\( A_i \) — Current Gain (dimensionless)
\( g_{mp} \) — MOSFET Primary Transconductance (Siemens)
\( R_{dg} \) — Resistance between Drain and Ground (Ohms)

Explanation: The formula calculates the current gain based on the transconductance of the MOSFET and the resistance in the drain circuit. Higher transconductance and drain resistance result in higher current gain.

3. Importance of Current Gain Calculation

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

4. Using the Calculator

Tips: Enter MOSFET primary transconductance in Siemens and resistance between drain and ground in Ohms. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for current gain values?
A: Current gain values typically range from 0 to 1, where 1 represents perfect current transfer and 0 represents no current amplification.

Q2: How does transconductance affect current gain?
A: Higher transconductance values generally lead to higher current gain, as the MOSFET can control more current with the same input voltage.

Q3: What is the significance of drain resistance?
A: The resistance between drain and ground affects the output impedance and voltage gain of the amplifier stage, influencing the overall current gain.

Q4: Can this formula be used for other transistor types?
A: This specific formula is designed for MOSFET configurations. Other transistor types (BJT, JFET) may require different formulas for current gain calculation.

Q5: What are practical applications of this calculation?
A: This calculation is essential for designing current mirrors, current amplifiers, and various analog circuits where precise current control is required.