a power MOSFET
A power MOSFET is a MOSFET built to switch serious current, from amps to hundreds of amps, and to block tens or hundreds of volts. Unlike the tiny lateral transistors inside a logic chip, a power MOSFET is built vertically: current flows down through the silicon from a top source to a bottom drain (usually the metal tab), so a large area carries the current with a very low on-resistance. It is the modern muscle behind motor drives, power supplies, battery management, and LED drivers.
Its appeal over a power BJT is voltage control: you command it with gate voltage, not a continuous base current, and many such switches can be paralleled and driven simply. The key datasheet numbers are the drain-source voltage rating (how much it blocks when off), the continuous drain current, R_DS(on) (the conduction loss), and the gate charge (how hard it is to switch fast). Real power-switching design is the art of balancing low on-resistance against low gate charge, since pushing one usually worsens the other.
The practical cautions are real. A power MOSFET can dump a lot of heat, so it lives on a heat sink and you must respect its safe operating area. Its gate, though it draws no steady current, is a sizeable capacitor that needs a stiff gate driver to switch quickly, and it still carries that fragile, ESD-sensitive oxide. Treat the body diode as present but slow, and never assume the headline current rating is usable without adequate cooling.
A power MOSFET rated 60 V, 50 A, 8 milliohms switches a 12 V motor: at 20 A its conduction loss is 20^2 times 0.008 = 3.2 W, manageable on a small heat sink with a stiff gate driver.
A voltage-controlled muscle switch with a heat budget.
The headline current rating usually assumes an unrealistic case temperature. The real limit is set by your cooling and total (conduction plus switching) loss, not the datasheet maximum.