Assume that an npn bipolar transistor has a common-emitter current gain of $\beta=100 .(a)$ Sketch the ideal current-voltage characteristics $\left(i_{C}\right.$ versus $\left.v_{C R}\right)$, like those in Figure $12.9$, as $i_{B}$ varies from zero to $0.1 \mathrm{~mA}$ in $0.01-\mathrm{mA}$ increments. Let $\nu_{C E}$ vary over the range $0 \leq \nu_{C E} \leq 10 \mathrm{~V} .(b)$ Assuming $V_{c c}=10 \mathrm{~V}$ and $R_{c}=1 \mathrm{k} \Omega$
in the circuit in Figure $12.8$, superimpose the load line on the transistor characteristics in part $(a) .(c)$ Plot, on the resulting graph, the value of $i_{c}$ and $\nu_{C E}$ corresponding to $i_{6}=0.05 \mathrm{~mA}$