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A small signal source, $V_{i}(t)=A \cos \left(10^{5} t\right)+B \sin \left(10^{7} t\right)$ is applied to a BJT circuit as shown in the Figure.

Assume zero source resistance, $V_{B E}=0.7 \mathrm{~V}, \beta_{d c}=99$, Early voltage $=100 \mathrm{~V}$ and 

Thermal voltage $=25 \mathrm{mV}$. Effect of internal parasitic capacitances of the BJT may be neglected.

Which expression is the best approximation of the output voltage $V_{o}(t)$?

  1. $-9.1\left[A \cos \left(10^{5} t\right)+B \sin \left(10^{7} t\right)\right]$
  2. $9.1\left[A \cos \left(10^{5} t\right)-B \sin \left(10^{7} t\right)\right]$
  3. $-190.4\left[A \cos \left(10^{5} t\right)+B \sin \left(10^{7} t\right)\right]$
  4. $190.4\left[A \cos \left(10^{5} t\right)-B \sin \left(10^{7} t\right)\right]$

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