Which of the following small-signal model is/are the correct repr

Which of the following small-signal model is/are the correct repr
| Which of the following small-signal model is/are the correct representation of BJT?

A. <img alt="" src="//storage.googleapis.com/tb-img/production/20/09/F1_Shubham_Madhu_24.08.20_D4.png" style="width: 282px; height: 148px;" />

B. <img alt="" src="//storage.googleapis.com/tb-img/production/20/09/F1_Shubham_Madhu_24.08.20_D5.png" />

C. <img alt="" src="//storage.googleapis.com/tb-img/production/20/09/F1_Shubham_Madhu_24.08.20_D6.png" />

D. None of the above

Please scroll down to see the correct answer and solution guide.

Right Answer is:

SOLUTION

Analysis:

Small-signal model for h-parameters:

In the small-signal model for π-parameters:

\({h_{ie}} = {r_π }\)

\({h_{fe}} = \beta \)

\(\frac{1}{{{h_{oe}}}} = {r_0}\)

The small-signal h-parameter model can be replaced with the π model as shown:

From the above model, we can write:

\({V_π } = {I_b}{r_π }\)

\({I_b} = \frac{{{V_π }}}{{rπ }}\)

\(\beta {I_b} = \beta \cdot \frac{{{V_π }}}{{{r_π }}} = {g_m}{V_π }\)

The π model therefore becomes:

∴ Options 1, 2, and 3 are correct.