Body Effect in NMOS and the Drain Current

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albus

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I was studying MOSFETs and as i was reading Microelectronic Circuits by Sedra & Smith, I saw the concept of body effect. Now the body effect and why it is happening is clear, but there is one thing I didn't understand. When Vsb is increased Vt also increases so far so good but why the hell does drain current increases when Vt increases? Shouldn't it decrease since the equation of the drain current is
 

you are right indeed, that's why the body effect is undesired, it reduces Ids and therefore the transconductance gm of the single transistor amplifier
 

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