For enhancement MOSFET, the gate-source voltage must have
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Enhancement MOSFETs require an induced channel. Therefore the gate voltage must assist channel formation and hence has the same polarity as the drain supply.
Concept:
An enhancement MOSFET normally operates with no conducting channel at zero gate voltage.
A gate voltage must be applied to induce the channel.
Step 1: Consider n-channel enhancement MOSFET.
For an n-channel MOSFET,
\[
V_{GS}>0
\]
is required.
The drain supply is also positive.
Hence gate and drain have the same polarity.
Step 2: Consider p-channel enhancement MOSFET.
For a p-channel MOSFET,
\[
V_{GS}<0
\]
and the drain supply is negative.
Again the gate-source voltage has the same polarity as the drain supply.
Step 3: General conclusion.
Therefore,
\[
\boxed{\text{Gate-source voltage has the same polarity as the drain supply}}
\]
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