Voltage Gain of Small-Signal Operation of Current Mirrors Calculator

Formula Used:

\[ \text{Short-Circuit Current Gain} = \frac{\text{Transconductance 2} \times \text{Voltage across Gate and Source}}{\text{Small Signal Input Current}} \] \[ G_{is} = \frac{g_{m2} \times V_{gs}}{I_{ss}} \]

Transconductance 2 (gm2):

Siemens

Voltage across Gate and Source (Vgs):

Volt

Small Signal Input Current (Iss):

Ampere

Short-Circuit Current Gain (Gis):

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1. What is the Voltage Gain of Small-Signal Operation of Current Mirrors?

The Short-Circuit Current Gain in MOS current mirror amplifier circuits represents the ratio of output current to input current under short-circuit conditions. It's a key parameter for analyzing small-signal behavior in analog circuits.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ G_{is} = \frac{g_{m2} \times V_{gs}}{I_{ss}} \]

Where:

\( G_{is} \) — Short-Circuit Current Gain
\( g_{m2} \) — Transconductance of the second transistor (Siemens)
\( V_{gs} \) — Voltage across gate and source terminals (Volt)
\( I_{ss} \) — Small signal input current (Ampere)

Explanation: This formula calculates the current gain by relating the transconductance, gate-source voltage, and input current in MOS current mirror configurations.

3. Importance of Short-Circuit Current Gain Calculation

Details: Accurate calculation of short-circuit current gain is essential for designing and analyzing current mirror circuits, ensuring proper current replication and signal amplification in analog integrated circuits.

4. Using the Calculator

Tips: Enter transconductance in Siemens, gate-source voltage in Volts, and input current in Amperes. All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is transconductance in MOS transistors?
A: Transconductance (gm) represents the ratio of change in drain current to change in gate-source voltage, indicating the transistor's amplification capability.

Q2: Why is short-circuit condition important?
A: Short-circuit conditions help analyze current gain without the influence of output impedance, providing insight into the intrinsic current amplification properties.

Q3: What are typical values for transconductance?
A: Transconductance values typically range from microsiemens to millisiemens depending on transistor size, bias conditions, and technology node.

Q4: How does gate-source voltage affect current gain?
A: Higher gate-source voltage generally increases transconductance, which in turn increases the current gain, up to certain saturation limits.

Q5: What applications use current mirror circuits?
A: Current mirrors are fundamental in analog IC design for biasing, current sources, active loads, and current amplification in various applications including amplifiers and data converters.