Title: Operational Amplifiers
1Operational Amplifiers
Benchmark Companies Inc PO Box 473768 Aurora CO
80047
2What is an Op-Amp?
INTRODUCTION What is an operational
amplifier? In this chapter, we will define what
an operational amplifier is, and discuss the many
parameters that distinguish one type of device
from another.
3What is an Op-Amp?
- OBJECTIVES
- At the completion of this chapter, you will be
able to define the following
Define the following terms
channel separationclosed-loop gaincommon-mode
rejection ratiogain-bandwidth productinput bias
Current offsetinput offset Currentinput offset
voltageInput resistance input voltage range
inverting input loop gain non-inverting input
open-loop gain operational amplifier output
resistance output voltage swing slew rate
4What is an Op-Amp?
- Objective cont.
- Interpret a typical op-amp data sheet.
- Measure some of the common op-amp parameters.
5What is an Op-Amp?
- THE IDEAL OP-AMP
- Before we start looking at actual operational
amplifier circuits, we will briefly consider the
operational amplifier, hereafter referred to Op
amp, by itself.
6What is an Op-Amp?
- THE IDEAL OP-AMP
- The term Op-amp was originally used to describe a
series of high-performance dc amplifiers that
were used as the basis for analog computers.
7What is an Op-Amp?
- THE IDEAL OP-AMP
- Todays integrated circuit op-amp is a very
high-gain dc amplifier that uses external
feedback networks to control its response.
Feedback
8What is an Op-Amp?
- Open Loop Mode
- The op-amp without any external feedback is
described as being used in an open-loop mode.
9What is an Op-Amp?
- Open Loop Mode
- It is in this mode that we can describe the
characteristics of the ideal op-amp - The open-loop gain is infinite.
10What is an Op-Amp?
- Open Loop Mode
- It is in this mode that we can describe the
characteristics of the ideal op-amp - The input resistance is infinite.
- The output resistance is zero.
11What is an Op-Amp?
- Open Loop Mode
- It is in this mode that we can describe the
characteristics of the ideal op-amp - The bandwidth is infinite.
- The output voltage is zero when the input voltage
is zero (i.e., zero offset).
12What is an Op-Amp?
- Open Loop Mode
- In practice, however, no op-amp can meet these
five ideal open-loop characteristics. However, as
we shall see in the next few chapters, the world
doesnt come to an end because there is no such
thing as the ideal op-amp.
13What is an Op-Amp?
- THE OP-AMP SCHEMATIC SYMBOL
- the op-amp has two inputs one inverting, or -
input, and one non-inverting, or input. - a single output
Inverting
Output
Non-Inverting
14What is an Op-Amp?
- THE OP-AMP SCHEMATIC SYMBOL
- the op-amp is powered normally by a dual-polarity
power supply, typically in the range of 5 to
15 volts.
Neg
Pos
15What is an Op-Amp?
- THE OP-AMP DATA SHEET
- Perhaps the best way to understand the many
characteristics of an op-amp is to examine a
manufacturers data sheet.
16What is an Op-Amp?
- THE OP-AMP DATA SHEET
- the data sheet usually contains the following
information - A general description of the op-amp.
- An internal equivalent circuit schematic.
- Pin configuration of the device.
- The absolute maximum ratings.
- The electrical characteristics.
- Typical performance curves.
17What is an Op-Amp?
- THE OP-AMP DATA SHEET
- we will cover most of the important parameters,
using the type 741 op-amp as a representative
example.
18What is an Op-Amp?
- THE OP-AMP DATA SHEET
- Important Parameters cont.
- Maximum Ratings The maximum ratings given in the
data sheet are the maximum the op-amp can safely
tolerate without the possibility of destruction.
19What is an Op-Amp?
- THE OP-AMP DATA SHEET
- Maximum Ratings
- Supply Voltage (Va )
- This is the maximum positive and negative
voltage that can be used to power the op-amp. - Internal Power Dissipation (PD)
- This is the maximum power that the op-amp is
capable of dissipating, given a specified
ambient temperature (i.e., 500 mW _at_ lt75C). - Differential Input Voltage (Vid )
- This is the maximum voltage that can be applied
across the and - inputs. - Input Voltage (Vicm )
- This is the maximum input voltage that can be
simultaneously applied between both inputs and
ground, also referred to as the common-mode
voltage. In general, this maximum voltage is
equal to the supply voltage. - Operating Temperature (Ta)
- This is the ambient temperature range for which
the op-amp will operate within the manufacturers
specifications. Note that the military grade
version (741) has a wider temperature range than
the commercial, or hobbyist, grade version
(741C). - Output Short-Circuit Duration
- This is the amount of time that the op-amps
output can be short-circuited to ground or either
supply voltage.
20What is an Op-Amp?
- THE OP-AMP DATA SHEET
- Important Parameters cont.
- Electrical Characteristics
- The Op amps electrical characteristics are
usually specified for a supply voltage and
ambient temperature. However, certain parameters
may also have other conditions attached, such as
a particular source resistance. Generally, each
parameter will have a minimum typical, and/or
maximum value. (See data sheet for examples)
21What is an Op-Amp?
- THE OP-AMP DATA SHEET
- Electrical Characteristics cont.
- Input Parameters
- Input Offset Voltage (Voi)
- This is the voltage that must be applied to one
of the input terminals to give a zero output
voltage. Remember, for an ideal op-amp, the
output voltage offset is zero! - Input Bias Current (Ib)
- This is the average of the currents flowing into
both inputs. Ideally, the two input bias currents
are equal. - Input Offset Current (los)
- This is the difference of the two input bias
currents when the output voltage is zero. - Input Voltage Range (Vcm )
- This is the range of the common-mode input
voltage (i.e., the voltage common to both inputs
and ground). - Input Resistance (Zi)
- This is the resistance looking in at either
input with the remaining input with the remaining
input grounded.
22What is an Op-Amp?
- THE OP-AMP DATA SHEET
- Electrical Characteristics cont.
- Output Parameters
- Output Resistance (Zoi)
- This is the resistance seen looking into the
op-amps output. - Output Short-Circuit Current (Iosc )
- This is the maximum output current that the
op-amp can deliver to a load. - Output Voltage Swing (Vo max)
- Depending on the load resistance, this is the
maximum peak output voltage that the op-amp can
supply without saturation or clipping.
23What is an Op-Amp?
- THE OP-AMP DATA SHEET
- Electrical Characteristics cont.
- Dynamic Parameters
- Open-Loop Voltage Gain (AOL)
- This is the ratio of the output to input voltage
of the op-amp without external feedback. - Large-Signal Voltage Gain
- This is the ratio of the maximum voltage swing
to the change in the input voltage required to
drive the output from zero to a specified voltage
(e.g., 10 volts). - Slew Rate (SR)
- This is the time rate of change of the output
voltage with the op-amp circuit having a voltage
gain of unity (1.0).
24What is an Op-Amp?
- THE OP-AMP DATA SHEET
- Electrical Characteristics cont.
- Other Parameters
- Supply Current
- This is the current that the op-amp will draw
from the power supply - Common-Mode Rejection Ratio (CMRR)
- This is a measure of the ability of the op-amp
to reject signals that are simultaneously present
at both inputs. It is the ratio of the
common-mode input voltage to the generated output
voltage, usually expressed in decibels (dB). - Channel Separation
- Whenever there is more than one op-amp in a
single package, such as a type 747 op-amp, a
certain amount of crosstalk will be present.
That is, a signal applied to the input of one
section of a dual op-amp will produce a finite
output signal in the remaining section, even
though there is no input signal applied to the
unused section.
25What is an Op-Amp?
- GAIN AND FREQUENCY RESPONSE
- Unlike the ideal op-amp, the Op-amp that is used
in various circuits does not have infinite gain
and bandwidth. As shown in Fig.1, the open-loop
gain AOL for a type 741 op-amp is graphed as a
function of frequency.
26What is an Op-Amp?
- GAIN AND FREQUENCY RESPONSE
- At very low frequencies, the open-loop gain of
op-amp is constant, but begins to roll off at
approximately 6 Hz at a rate of -6 dB/octave or
-20 dB/decade An octave is a doubling in
frequency and a decade is a ten-fold increase in
frequency.
27What is an Op-Amp?
- GAIN AND FREQUENCY RESPONSE
- This decrease continues until the gain is unity,
or 0 dB. The frequency at which the gain is unity
is called the unity gain frequency, fT.
28What is an Op-Amp?
- Open Loop and Closed Loop Gain
- When some of the output signal is fed back to
the op-amps input, the ratio of the output to
input voltage is termed the closed-loop gain,
ACL, and is always less than the open-loop gain.
29What is an Op-Amp?
- Open Loop and Closed Loop Gain
- The difference in decibels between the open-loop
and closed-loop gains is the loop gain, AL. When
AOL and ACL are expressed as simple
output-to-input ratios, the loop gain is
expressed mathematically as - AL AOL/ACL
30What is an Op-Amp?
- Gain Bandwidth
- Perhaps the first factor in the consideration of
a particular op-amp for a given application is
its gain-bandwidth product, or GBP.
31What is an Op-Amp?
- Gain Bandwidth
- For the response curve below, the product of the
open-loop gain and frequency is a constant at any
point on the curve, so that - GBP AOLBW
32What is an Op-Amp?
- Gain Bandwidth
- Graphically, the bandwidth is the point at which
the closed-loop gain curve intersects the
open-loop gain curve, as shown in the figure
below for a family of closed-loop gains.
33What is an Op-Amp?
- Gain Bandwidth
- Therefore, one obtains the bandwidth for any
desired closed-loop gain by simply drawing a
horizontal line from the desired value of gain to
intersect the roll-off of the open-loop gain
curve.
34What is an Op-Amp?
- Gain Bandwidth
- For a practical design situation, the actual
design gain of an opamp circuit should be about
a factor of 1/10 to 1/20 of the open-loop gain at
a given frequency.
35What is an Op-Amp?
- Gain Bandwidth
- This ensures that the op-amp will function
properly without distortion. As an example, using
the response of Fig. 1-3, the closed-loop gain at
10 kHz should be about 5 to 10, since the
open-loop gain is 100 (40 dB).
ACL
36What is an Op-Amp?
- Transient Response, (Rise Time)
- The time that it takes for the output signal to
go from 10 to 90 of its final value when a
step.
Input Signal
Output Signal
time
Timing Diagram
37What is an Op-Amp?
- Transient Response, (Rise Time)
- A function pulse is used as an input signal, and
is specified under closed-loop conditions. From
electronic circuit theory, the rise time is
related to the bandwidth of the op-amp by the
relation - BW 0.35/rise time
38What is an Op-Amp?
- Summary
- Op-amps are designed to be powered from a dual,
or bipolar, voltage supply which is typically in
the range of 5 to 15 volts.
39What is an Op-Amp?
- Summary
- That is, one supply is 5 to 15 volts with
respect to ground, and another supply voltage of
-5 to -15 volts with respect to ground.
40What is an Op-Amp?
- Summary
- However, in certain cases, an op-amp may be
operated from a single supply voltage, which is
explained in Chapters 8 and 9.
41