Question

A transistor is used in an amplifier circuit in common emitter mode. If the base current changes by $100\mu A$, it brings a change of $10mA$ in collector current. If the load resistance is $2k\Omega$ and input resistance is $1k\Omega$, the value of power gain is $x\times 10^4$. The value of $x$ is______.

Answer 1

Answer: 2

$\Delta i_B=100\mu A$
$\beta =\frac{\Delta i_C}{\Delta i_B}$
$\Delta i_C=10mA$
power $={\beta }^2\times \frac{R_0}{R_{in}}$
Power $={\left(\frac{10}{0.1}\right)}^2\times \frac{2}{1}$
Power $=100\times 100\times 2$
Gain $=2\times 10^4$