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Electronic Circuit Analysis

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Multistage Amplifiers 69<br />

2.7.4 Output Resistance<br />

The general expression for Ro ofa transistor in Common Collector Configuration in terms of Common<br />

Emitter h-parameters is,<br />

ROJ ==<br />

Rs + hie<br />

1 + h fe<br />

Now for the transistor Q2' Rs is R OJ<br />

'<br />

Rs + hie<br />

--=--=- +h·<br />

1 + hfe Ie<br />

Therefore, R02 is the output resistance of the Darlington <strong>Circuit</strong>.<br />

R02 ==<br />

Rs + hie hIe<br />

(1 + hfeY + 1 + h fe<br />

This is a small value, since, 1 + h fe<br />

is » 1.<br />

Therefore, the characteristic of Darlington <strong>Circuit</strong> are<br />

1. Very High Input Resistance ( of the order of M.o).<br />

2. Very Large Current Gain (of the order of 10,000).<br />

3. Very Low Output Resistance (of the order offew .0).<br />

4. Voltage Gain, Av < 1.<br />

Darlington Pairs are available in a single package with just three leads, like one transistor in<br />

integrated form.<br />

2.7.5 Disadvantages<br />

We have assumed that the h-parameters of both the transistors are identical. But in practice it is<br />

difficult to make h-parameters depend upon the operating point of QJ and Q2' Since the emitter<br />

current of transistor QJ is the base current for transistor Q2' the value of I C2 » ICJ<br />

1. The quiescent or operating conditions of both the transistors will be different. hje value will<br />

be small for the transistor QI. .: hje = (f/fJ.lb2 is less<br />

CDfL make CIL997 is a transistor of Darlington Pair Configuration with hje == 1000.<br />

2. The second drawback is leakage current of the first transistor Q I which is amplified by the<br />

second transistor Q 2 (-: leI == fbi

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