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Qualitative Discussion of MOS Transistors Big Picture • ES230 – Diodes – BJT – Op-Amps • ES330 – Applications of Op-Amps – CMOS • Analog applications • Digital applications A Crude Metal Oxide Semiconductor (MOS) Device Positive charge attract P-Type Silicon is negative charges slightly conductive. to interface between insulator and silicon. The gate draws no current! V2 causes movement of negative charges, thus current. V1 can control the resistivity of the channel. A conductive path is created If the density of electrons is sufficiently high. Q=CV. An Improved MOS Transistor (provide electrons) (drain electrons) n+ diffusion allows electrons move through silicon. Typical Dimensions of MOSFETs tox is made really thin to increase C, therefore, create a strong control of Q by V. These diode must be reversed biased. A Closer Look at the Channel Formulation Need to tie substrate to GND to avoid current through PN diode. (OFF) (ON) VTH=300mV to 500 mV Free electrons appear at VG=VTH. Positive charges repel the holes creating a depletion region, a region free of holes. MOSFET as a Variable Resistor As VG increases, the density of electrons increases, the value of channel resistance changes with gate voltage. You can build an attenuator circuit. (i.e. a voltage divider) Change Drain Voltage Resistance determined by VG. Change Gate Voltage Higher VG leads to a lower channel resistance, therefore larger slope. Length Dependence The resistance of a conductor is proportional to the length. Dependence on Oxide Thickness Q=CV C is inversely proportional to 1/tox. Lower Q implies higher channel resitsance. Width Dependence The resistance of a conductor is inversely proportional to the cross section area. A larger device also has a larger capacitance! Channel Pinch Off • Q=CV – V=VG-VOXIDE-Silicon • VOXIDE-Silicon can change along the channel! Low VOXIDE-Silicon implies less Q. VG-VD is sufficiently large to produce a channel No channel VG-VD is NOT sufficiently large to produce a channel Electrons are swept by E to drain. Drain can no longer affect the drain current! Regions (No Dependence on VDS) No channel Determination of Region • How do you know whether a transistor is in the linear region or saturation region? – If VDS>(VGS-VTH) and VGS>VTH, then the device is in the saturation region. – If VDS<(VGS-VTH) and VGS>VTH, then the device is in the linear region. Graphical Illustration Limited VDS Dependence During Saturation As VDS increase, effective L decreases, therefore, ID increases. Pronounced Channel Length Modulation in small L Transconductance • As a voltage-controlled current source, a MOS transistor can be characterized by its transconductance: • It is important to know that What Happens to gm/ID when W and ID are doubled? Body Effect The threshold voltage will change when VSB=0! Experimental Data of Body Effect The threshold voltage will increase when VSB increases. What if we drive the base with a small signal? Input and Output Vin, m=1 mV Vout, m=46 mV Replace the transistor by its small signal equivalent circuit (EQ 5.157) Comparision: ADS Simulation: 46 EQ 5.157: 49.33 Small Signal Model for NMOS Transistor PMOS Transistor IV Characteristics of a PMOS Small Signal Model of PMOS Small Signal Model of NMOS