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Question: For a triode \(r_{p} = 10\)kilo ohm and \(g_{m} = 3\)milli mho. If the load resistance is double of ...

For a triode rp=10r_{p} = 10kilo ohm and gm=3g_{m} = 3milli mho. If the load resistance is double of plate resistance, then the value of voltage gain will be.

A

10

B

20

C

15

D

30

Answer

20

Explanation

Solution

Voltage gain

AV=μ1+rpRLA_{V} = \frac{\mu}{1 + \frac{r_{p}}{R_{L}}}and μ=rp×gm\mu = r_{p} \times g_{m}

μ=10×103×3×103=30\Rightarrow \mu = 10 \times 10^{3} \times 3 \times 10^{- 3} = 30

Av=μ1+rp2rp=23μ=23×30=20.\therefore A_{v} = \frac{\mu}{1 + \frac{r_{p}}{2r_{p}}} = \frac{2}{3}\mu = \frac{2}{3} \times 30 = 20.