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Not so. Even a switch can be considered an amplifer since it's amplifying a digital signal. The output power controlled is greater than the input controlling power which is the basic definition of an amplifier.MosFets do not amplify. They just switch.
The gate voltage must be depicted of the data sheet.
A BUZ11 switches OK at a gate voltage of 3 to 5V (better go for 5V, 3V is the lower limit)
Rds(on) is only guaranteed at Vgs=10V. It is not specified at 5V. See below.A BUZ11 switches OK at a gate voltage of 3 to 5V (better go for 5V, 3V is the lower limit)
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