# Why does the current in MOSFET have a quadratic function (explain logically without using the integration method)?

The current equation relating Vds ,Vgs and Vt is already known to us ,but if there is any way we can find out how it varies quadratically without using the formulae?

• Are you asking for an intuitive approach from first principles physics that should tell you why? No equations, just a reason why you must find that kind of result? (For example, it is easy to show that angular momentum conservation must arrive from a simple consideration of the geometry of space.) – jonk May 25 at 18:07