# The output characteristics of a transistor is shown in the figure. When $V_{CE}$ is 10 V and $I_{C}=4.0\; mA,$ then value of $\beta _{ac}$ is _________ Option: 1 150 Option: 2 300 Option: 3 450 Option: 4 75

$\begin{array}{l} \Delta I_{B}=(30-20)=10 \mu \mathrm{A} \\ \\ \Delta I_{C}=(4.5-3) \mathrm{mA}=1.5 \mathrm{~mA} \\ \\ \beta_{\mathrm{ac}}=\frac{\Delta \mathrm{I}_{\mathrm{C}}}{\Delta \mathrm{I}_{\mathrm{B}}}=\frac{1.5 \mathrm{~mA}}{10 \mu \mathrm{A}}=150 \\ \\ \beta_{\mathrm{ac}}=150 \end{array}$

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