The transfer characteristic curve of a transistor, having input and...

The transfer characteristic curve of a transistor, having input and output resistance

100Ω

and

100kΩ

respectively, is shown in the figure. The voltage and power gain, are respectively:

The transfer characteristic curve of a transistor, having input and output resistance 100Ω and 100kΩ respectively, is

The transfer characteristic curve of a transistor, having input and output resistance 100Ω and 100kΩ respectively, is

Options

A $5 \times {10}^{4}, 2.5 \times {10}^{6}$
B $2.5 \times {10}^{4}, 2.5 \times {10}^{6}$
C $5 \times {10}^{4}, 5 \times {10}^{6}$
D $5 \times {10}^{4}, 5 \times {10}^{5}$

Correct answer

A. $5 \times {10}^{4}, 2.5 \times {10}^{6}$

Step-by-step solution

Current gain

\left(\beta\right) = \dfrac{\Delta{I}_{C}}{\Delta{I}_{B}} = \dfrac{5 \times {10}^{- 3}}{100 \times {10}^{- 6}} = 50

Voltage gain

( {\text{A}}_{\text{V}} ) = \beta\left(\dfrac{{R}_{out}}{{R}_{in}}\right) = 50 \times \dfrac{100 \times {10}^{3}}{100} = 5 \times {10}^{4}

Power gain

= {A}_{V} \times \beta = 50 \times 5 \times {10}^{4} = 2.5 \times {10}^{6}

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