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2.2 MOS Transistors                                                    33


            The MOS transistor is a four-terminal
        device: source, gate, drain, and substrate
        (well). The source of a transistor is denned so
        that the charges in the channel move from
        the source toward the drain. For example, for
        an n-channel transistor the moving charges
        are electrons. Here, the source is the termi-
        nal that has the lowest potential. The termi-
        nal with the highest potential is the source
        for a p-channel transistor since the moving
        charges are holes.
            Schematic circuit symbols are shown for
        n- and p-channel transistors in Figure 2.3.
        The type of substrate is often indicated by an
        arrow, pointing away from the transistor
        (right) for an n-doped substrate (i.e., for a p-
        channel transistor) and toward the transis-
        tor (left) for an n-channel transistor. Gener-
        ally, the substrate (well) of the nMOS device
        is grounded and the substrate (well) of the
        pMOS device is connected to the positive
        power supply rail in a digital circuit.
            Four different types of devices are possi-  Figure 2.3 Symbols used for MOS
        ble using MOS technology: n-channel or p-            transistors
        channel transistors that can be either of
        enhancement mode or depletion mode type. An enhancement mode transistor does
        not conduct for zero gate-source voltage while a depletion mode transistor does
        conduct.
            The n-channel enhancement mode transistor will conduct and effectively
        short-circuit the drain and source if a sufficiently large gate-source voltage is
        applied, but it will not conduct if the gate-source voltage is less than the threshold
        voltage. A simple model for the transistor is a voltage-controlled switch that is on
        if the input voltage is high, and off if it is low. The p-channel transistor will con-
        duct if the gate-source voltage is larger than the threshold voltage.

        2.2.1 A Simple Transistor Model
        Transistors are characterized by a plot of drain current, ID, versus the drain-
        source voltage, YDS for different values of gate-source voltage, VQS [2, 19, 22-25].
        All voltages are referenced with respect to the source voltage. The source and sub-
        strate are assumed to be connected. Characteristic curves are shown in Figures.
        2.4 and 2.5 for a n- and p-channel transistors, respectively.
            The two diagrams show typical device characteristics for a 0.8-um CMOS
        technology. Large parameter variations occur in practice among devices on differ-
        ent dies while the variations are somewhat smaller between devices on the same
        die. The diagrams show that drain-source current flows only when the magnitude
        of the gate-source voltage exceeds a minimum value, called the threshold voltage,
        VT, i.e., I VQS I > I Vy I. This is more clearly illustrated in Figure 2.6 which depicts
        the IDTI—VGS characteristics for a fixed Vrjg-
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