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 $10 \,mA$ in collector current. If the load resistance is $2\, k \Omega$ and input resistance is $1 \,k \Omega$, the value of power gain is $x \times 10^{4}$. The value of $x$ is______.

Answer 1

$\Delta i _{ B }=100 \,\mu A $
$\beta=\frac{\Delta i _{ C }}{\Delta i _{ B }}$
$\Delta i _{ C }=10\, mA$
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 $=2 \times 10^{4}$