A transistor is used in an amplifier circuit | vedclass

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Question

(A) Given: Change in base current $\Delta i_{B} = 100 \,\mu A = 100 	imes 10^{-6} \,A = 0.1 \,mA$.Change in collector current $\Delta i_{C} = 10 \,mA

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(A) Given: Change in base current $\Delta i_{B} = 100 \,\mu A = 100 	imes 10^{-6} \,A = 0.1 \,mA$.Change in collector current $\Delta i_{C} = 10 \,mA$.Load resistance $R_{L} = 2 \,k \Omega = 2000 \,\Omega$.Input resistance $R_{in} = 1 \,k \Omega = 1000 \,\Omega$.First, calculate the current gain $\beta$:$\beta = \frac{\Delta i_{C}}{\Delta i_{B}} = \frac{10 \,mA}{0.1 \,mA} = 100$.Power gain $A_{P}$ is given by the formula:$A_{P} = \beta^{2} 	imes \frac{R_{L}}{R_{in}}$.Substituting the values:$A_{P} = (100)^{2} 	imes \frac{2000 \,\Omega}{1000 \,\Omega} = 10000 	imes 2 = 20000$.$A_{P} = 2 	imes 10^{4}$.Comparing this with $x 	imes 10^{4}$, we get $x = 2$.

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