Question

in a given transistor amplifier, ( rc = 2.2 mathrm{k}omega ) and ( re = 20 omega ) the voltage gain is
select one:
o a. 20
o b. 110
o c. 44
o d. 2.2

Explanation:

Step1: Recall Voltage Gain Formula

The voltage gain \( A_v \) of a transistor amplifier (for a common - emitter or similar configuration where the formula \( A_v=-\frac{R_C}{r'_e} \) is applicable, and we consider the magnitude for gain calculation) is given by \( A_v = \frac{R_C}{r'_e} \). First, we need to convert the units of \( R_C \) to ohms. Given \( R_C = 2.2\space k\Omega=2.2\times10^{3}\space\Omega \) and \( r'_e = 20\space\Omega \).

Step2: Substitute Values into the Formula

Substitute \( R_C = 2200\space\Omega \) and \( r'_e=20\space\Omega \) into the formula \( A_v=\frac{R_C}{r'_e} \). So \( A_v=\frac{2200}{20} \).

Step3: Calculate the Result

\( \frac{2200}{20}=110 \).

Answer:

b. 110