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For a network given below determine $Z_i$, $Z_o$, and $A_V$.

Mumbai University > Electronics and telecommunication engineering > Sem 3 > Analog electronics 1

Marks: 10M

Years: May 15

1 Answer
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enter image description here

The circuit is collector DC feedback configuration.

DC: $I_b = \frac{( V_CC- V_BE)}{( R_F+ β R_C )}$

= $\frac{(12-0.7 V)}{((120kΩ+68 kΩ)+(140)3 kΩ)} = \frac{(11.3 V)}{(608 kΩ)}$ = 18.6 µA

$I_E$ = (1+ β) $I_B$ = (141) (18.6 µA)

= 2.62 mA

$ r_e = \frac{(26 mA)}{ I_E} = \frac{(26 mA)}{(2.62 mA)}$ = 9.92 Ω

Now, β $r_e$ = (140) (9.92 Ω) = 1.39 kΩ

The ac equivalent circuit appears in fig below.

$Z_i = R_F1$ ||β $r_e$ = 120 kΩ || 1.39 kΩ = 1.37 kΩ

$Z_i$ = 1.37 kΩ

enter image description here

c. Testing the condition $r_o$>= 10 $R_C$, we find

30 kΩ >= 10 (3 kΩ) = 30 kΩ

Which is satisfied through the equals sign in the condition. Therefore,

$Z_o$= $R_C$ || $R_F2$ = 3 kΩ || 68 kΩ

= 2.87 kΩ

$Z_o$= 2.87 kΩ

d. $r_o$>= 10 $R_C$ ; therefore,

$A_V = \frac{(- R_C || R_F2)}{ r_e} = \frac{(- 3 kΩ || 68 kΩ)}{(9.92 Ω)}$

Approximately, $\frac{(- 3 kΩ || 68 kΩ)}{(9.92 Ω)} = \frac{(- 2.87 kΩ)}{(9.92 Ω)}$ = -289.3

$A_V$ = -289.3

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