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Op Amps for Everyone - The Repeater Builder's Technical ...

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DAC to Actuator Analog Interface<br />

is to terminate the DAC output in a resistor that converts current into voltage, and then<br />

level shift and amplify the terminated voltage. <strong>The</strong> circuit that per<strong>for</strong>ms this function is<br />

shown in Figure 18–12.<br />

+V CC<br />

R T<br />

I<br />

+V CC<br />

+<br />

_<br />

V OUT<br />

V REF<br />

R G<br />

R F<br />

Figure 18–12.<br />

DAC Current Source to Actuator Interface Circuit<br />

<strong>The</strong> DAC output current sources from I OUT(ZEROS) = 1 mA to I OUT(ONES) = 2 mA at an output<br />

compliance of 4.33 V. <strong>The</strong> actuator requires an input voltage swing of V IN1 = 1 V to<br />

V IN2 = 4 V to drive it, and its input resistance is 100 kΩ. <strong>The</strong> system specifications include<br />

one 5-V power supply and 5% resistors. <strong>The</strong> DAC is connected to input of the amplifier<br />

(see Figure 18–11), so its output current swing is renamed I IN , and the actuator is connected<br />

to the output of the amplifier, so its input voltage range is renamed V OUT . Now, two<br />

data points are constructed as I IN1 = 1 mA @ V OUT1 = 1 V and I IN2 = 2 mA @ V OUT2 =<br />

4 V. <strong>The</strong> data points are substituted into the Equation 18–20. Don’t worry about the sign<br />

of m or b because it is determined by the math, and it is substituted into the equation that<br />

determines the transfer equation. <strong>The</strong> simultaneous equations are given below.<br />

V OUT<br />

mI IN<br />

b<br />

1 m b<br />

4 2m b<br />

(18–20)<br />

(18–21)<br />

(18–22)<br />

From these equations we find that b = –2 and m = 3. <strong>The</strong> slope and intercept values are<br />

substituted into Equation 18–20 to get Equation 18–23.<br />

V OUT<br />

3I IN<br />

2<br />

(18–23)<br />

<strong>The</strong> equation <strong>for</strong> the circuit shown in Figure 18–12 is derived with the aid of superposition,<br />

and it is given below in Equation 18–24.<br />

V OUT<br />

I IN<br />

R T<br />

1 R F<br />

R G<br />

V REF<br />

R F<br />

R G<br />

(18–24)<br />

Comparing terms between Equations 18–20 and 18–24 enables the extraction of m<br />

and b.<br />

Designing Low-Voltage <strong>Op</strong> Amp Circuits<br />

18-17

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