Physical picture se shuru karo. Gate + oxide + substrate milke ek capacitor banaate hain. Gate charge substrate mein opposite charge induce karta hai.
NMOS ek p-substrate pe:
p-substrate holes se bhara hua hai. VG ko source ke relative positive karo.
Positive gate charge surface ke paas se holes ko repel karta hai → ek depletion region banta hai.
VG aur zyada badhao: ab yeh surface pe minority electrons ko attract karta hai.
Jab surface pe utne hi electrons ho jaate hain jitne bulk mein holes the → strong inversion. Surface ab effectively n-type hai: ek conducting n-channel dono n regions ko bridge karta hai.
Jis gate voltage pe aisa hota hai woh hai thresholdVTn.
Toh ON hone ki condition hai:
VGS>VTn(VTn>0)
Overdrive define karo Vov=VGS−VTn. Channel tabhi banta hai jab Vov>0.
PMOS bilkul dual hai: sab kuch sign mein flip ho jaata hai, toh ON ka matlab hai
VGS<VTp⟺VSG>∣VTp∣
Silicon mein electrons holes se zyada fast move karte hain:
μn≈2–3×μp
Kyun? Holes valence band ke through conduct karte hain jisme effective mass zyada heavy hoti hai aur scattering bhi zyada hota hai. Toh sameW/L aur overdrive ke liye, ek NMOS ek PMOS se ~2–3× zyada current deliver karta hai.
Consequence (80/20 takeaway): CMOS mein, pull-up (PMOS) ko pull-down (NMOS) jitna strong banane ke liye, designers PMOS ko wider banate hain, typically Wp≈2–3Wn. Yahi ek fact CMOS layout asymmetry ka zyaadatar hissa explain karta hai.
Higher-potential terminal (jahaan holes enter karte hain).
CMOS mein PMOS ko NMOS se wider kyun banaya jaata hai?
Kyunki μp<μn; widening equal drive ke liye lower hole mobility ko compensate karta hai.
Typical mobility ratio μn/μp?
Lagbhag 2–3.
CMOS inverter mein kaunsa device output HIGH kheenchta hai?
PMOS (pull-up).
Strong logic 0 kaunsa device pass karta hai?
NMOS.
NMOS ke liye saturation current form?
ID=21μnCoxLW(VGS−VTn)2.
Overdrive voltage define karo.
Vov=VGS−VTn (NMOS); channel tabhi banta hai jab Vov>0.
Agar μn=3μp ho toh equal NMOS/PMOS drive ke liye kaunsi sizing chahiye?
Wp=3Wn.
Recall Feynman: ek 12-saal ke bachche ko explain karo
Socho do tarah ke water gates hain. NMOS gate tab khulta hai jab tum iski handle UPAR push karte ho, aur yeh fast swimmers (electrons) ko andar jaane deta hai. PMOS gate tab khulta hai jab tum handle NEECHE push karte ho, aur yeh slower bubbles (holes) ko through jaane deta hai. Kyunki bubbles slower hain, tum bubble-gate ko thoda wider banao taaki same amount same time mein guzar sake. Computer mein hum ek up-gate aur ek down-gate ko saath chipkate hain: jab tum push karte ho, ek band hota hai aur doosra khul jaata hai — toh output hamesha flip hoti hai. Wahi flip hai jisse computers "not" kehte hain.