Channel Length Modulation Coefficient Calculator

Formula

The formula to calculate the channel length modulation coefficient (λ) is:

\[ \lambda = \frac{\Delta I_D}{I_D \cdot \Delta V_{DS}} \]

Where:

\( \lambda \) is the channel length modulation coefficient
\( \Delta I_D \) is the change in drain current
\( I_D \) is the drain current
\( \Delta V_{DS} \) is the change in drain-source voltage

Definition

Channel Length Modulation: A phenomenon observed in MOSFETs where the effective channel length decreases as the drain-source voltage increases. This effect leads to an increase in the drain current, even when the gate-source voltage is constant. The channel length modulation coefficient (λ) quantifies this effect and is an important parameter in the design and analysis of analog circuits.

Example

Let's say the change in drain current (ΔI_D) is 0.01 A, the drain current (I_D) is 0.1 A, and the change in drain-source voltage (ΔV_DS) is 5 V. Using the formula:

\[ \lambda = \frac{0.01}{0.1 \cdot 5} \]

We get:

\[ \lambda = 0.002 \]

So, the channel length modulation coefficient is 0.002.