Question

A CE amplifier utilizes a BJT with β=100\beta=100 biased at IC=0.5mAI_{C}=0.5 \mathrm{mA} and has a collector resistance RC=12kΩR_{C}=12 \mathrm{k} \Omega and a resistance Re=250ΩR_{e}=250 \Omega connected in the emitter. Find Rin,Avo,R_{\mathrm{in}}, A_{v o}, and Ro.R_{o}. If the amplifier is fed with a signal source having a resistance of 10kΩ,10 \mathrm{k} \Omega, and a load resistance RL=12kΩR_{L}=12 \mathrm{k} \Omega is connected to the output terminal, find the resulting AvA_{v} and Gv.G_{v}. If the peak voltage of the sine wave appearing between base and emitter is to be limited to 5 mV, what v^ sig \hat{v}_{\text { sig }} is allowed, and what output voltage signal appears across the load?

Solution

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For the given BJT amplifier,

α=β1+β=100101\alpha =\dfrac{\beta}{1+\beta} =\dfrac{100}{101}

re=VTIE=αVTIC=100101×25 mV0.5 mA=49.5 Ωr_e = \dfrac{V_T}{I_E}=\dfrac{\alpha V_T}{I_C}=\dfrac{100}{101} \times \dfrac{25\mathrm{~mV}}{0.5\mathrm{~mA}} =49.5 \mathrm{~\Omega}

gm=αre=100/10149.5=20 mA/Vg_m =\dfrac{\alpha}{r_e} = \dfrac{100/101}{49.5} = 20\mathrm{~mA/V}

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