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Laboratory Manual - King Fahd University of Petroleum and Minerals

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1<br />

The output voltage in time domain can be expresses as v<br />

o( t)<br />

vi<br />

( ) d<br />

vi<br />

( to)<br />

RC<br />

This means that the output voltage at time t is given by the initial capacitor voltage plus<br />

the integral <strong>of</strong> the input signal from start <strong>of</strong> integration interval, here, t=0. Note that dc<br />

gain is infinity which means any small dc component <strong>of</strong> v i (t) results in output. In<br />

practice, the op amp will saturates at a voltage close to positive or negative supply<br />

depending on input voltage polarity.<br />

Differentiator:<br />

dvi<br />

( t)<br />

The output voltage in time domain can be expresses as vo<br />

( t)<br />

RC<br />

dt<br />

This means that the output is scaled version <strong>of</strong> derivative <strong>of</strong> input voltage. The<br />

differentiator is noise magnifier (i.e. spikes may be produced at output due to sharp<br />

changing in v i (t)).<br />

Difference Amplifier:<br />

This circuit amplifies difference between two input signals. The output voltage can be<br />

expresses as R / R )( v v ) ( R / R )( v ) .<br />

v o<br />

(<br />

2 1 1 2 2 1 2<br />

v1<br />

Voltage to Current Converter:<br />

Such a converter is capable <strong>of</strong> producing a current into a load that is independent <strong>of</strong> the<br />

load value <strong>and</strong> also proportional to the input voltage. It can be shown for the simple<br />

voltage to current converter given in Figure 1 that I out =V i /R regardless <strong>of</strong> the value <strong>of</strong> Z L .<br />

Can you prove that?<br />

EQUIPMENTS & COMPONENTS<br />

1. Digital Oscilloscope, Bread Board, Digital Multi-Meter, Signal generator.<br />

2. DC power Supplies <strong>of</strong> 10V <strong>and</strong> -10V from the Board.<br />

3. Op amps 741.<br />

4. Resistors: 1kΩ, 2kΩ, 5kΩ, 10kΩ, 100kΩ.<br />

5. Capacitors: 1.5nF, 0.1μF.<br />

t<br />

t<br />

o<br />

29

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