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Question: The amplification factor of a triode is 20 and trans-conductance is 3 millimho and load resistance\(...

The amplification factor of a triode is 20 and trans-conductance is 3 millimho and load resistance3×104Ω3 \times 10^{4}\Omega, then the voltage gain is.

A

16.36

B

28

C

78

D

108

Answer

16.36

Explanation

Solution

Using voltage gain

Av=μ1+rpRLA_{v} = \frac{\mu}{1 + \frac{r_{p}}{R_{L}}} also μ=rp×gm\mu = r_{p} \times g_{m}

rp=μgm=203×103\Rightarrow r_{p} = \frac{\mu}{g_{m}} = \frac{20}{3 \times 10^{- 3}}

Av=201+203×103×3×104\therefore A_{v} = \frac{20}{1 + \frac{20}{3 \times 10^{- 3} \times 3 \times 10^{4}}}=18011\frac{180}{11}=16.36.