The noninverting
op amp has the input signal connected to its noninverting input (Figure 3–2),
thus its input source sees an infinite impedance. There is no input offset
voltage because V OS = V E = 0, hence the negative input must be at the same
voltage as the positive input. The op amp output drives current into R F until
the negative input is at the voltage, V IN . This action causes V IN to appear
across R G.
Figure 3–2. The
Noninverting Op Amp
The voltage
divider rule is used to calculate VIN; VOUT is the input to the voltage
divider, and VIN is the output of the voltage divider. Since no current can
flow into either op amp lead, use of the voltage divider rule is allowed.
Equation 3–1 is written with the aid of the voltage divider rule, and algebraic
manipulation yields Equation 3–2 in the form of again parameter.
When RG becomes
very large with respect to RF, (RF/RG)⇒0 and
Equation 3–2 reduces to Equation 3–3.
Under these
conditions VOUT = 1 and the circuit becomes a unity gain buffer. RG is usually
deleted to achieve the same results, and when RG is deleted, RF can also be
deleted (RF must be shorted when it is deleted). When RF and RG are deleted,
the op amp output is connected to its inverting input with a wire. Some op amps
are self-destructive when RF is left out of the circuit, so RF is used in many
buffer designs. When RF is included in a buffer circuit, its function is to
protect the inverting input from an over voltage to limit the current through
the input ESD (electro-static discharge) structure (typically < 1 mA), and
it can have almost any value (20 k is often used). RF can never be left out of
the circuit in a current feedback amplifier design because RF determines
stability in current feedback amplifiers.
Notice that the
gain is only a function of the feedback and gain resistors; therefore the
feedback has accomplished its function of making the gain independent of the op
amp parameters. The gain is adjusted by varying the ratio of the resistors. The
actual resistor values are determined by the impedance levels that the designer
wants to establish.
If RF = 10 k and
RG = 10 k the gain is two as shown in Equation 2, and if RF = 100 k and RG =
100 k the gain is still two. The impedance levels of 10 k or 100 k determine
the current drain, the effect of stray capacitance, and a few other points. The
impedance level does not set the gain; the ratio of RF/RG does.
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