Question

In a common emitter amplifier having a voltage gain g references to use has a transduction 0.03 in current gain 25 is about transistor is replaced with another one with transduction 0.02 and current gain 22 voltage gain will be

Answer 1

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5/4 is the answer...

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Answer 2

Answer:

The voltage gain will be $\dfrac{2}{3}g$

Explanation:

Given that,

Voltage gain = g

Current gain $\beta=25$

We know that,

The voltage gain is

$A_{v}=\beta\dfrac{R_{out}}{R_{in}}$

$g=\beta\dfrac{R_{out}}{R_{in}}$

$g=25\dfrac{R_{out}}{R_{in}}$....(I)

We know that,

$G_{m} = \dfrac{\beta}{R_{in}}$

$R_{in}=\dfrac{\beta}{G_{m}}$

$R_{in}=\dfrac{25}{0.03}$

Now put the value of $R_{in}$ in equation (I)

$g=25\dfrac{R_{out}}{\dfrac{25}{0.03}}$.....(II)

When transistor is replaced with another one with transduction 0.02 and current gain 22.

The voltage gain g' is

$g'=22\dfrac{R_{out}}{\dfrac{22}{0.02}}$....(II)

Dividing equation (I) by equation (II)

$\dfrac{g}{g'}=\dfrac{25\dfrac{R_{out}}{\dfrac{25}{0.03}}}{22\dfrac{R_{out}}{\dfrac{22}{0.02}}}$

$\dfrac{g}{g'}=\dfrac{3}{2}$

$g'=\dfrac{2}{3}g$

Hence, The voltage gain will be $\dfrac{2}{3}g$.