(Solved): In the circuit below, the transistor current gain (beta), the transistor Early voltage, and the ca ...

In the circuit below, the transistor current gain (beta), the transistor Early voltage, and the capacitance \( C_{E} \) are extremely large. The thermal voltage \( \mathrm{kT} / \mathrm{q} \) is \( 0.025 \mathrm{~V} \). Use reasonable approximations to answer the questions below. (a) Assume \( v_{I N}=0 \). Find the base, collector, and emitter voltages with respect to ground, as well as the collector and emitter currents. (b) Assume now that \( v_{I N} \) is a step voltage, with 0 value for all negative time, and a value of \( 1 \mathrm{mV} \) for all positive time. Find an expression for the collector voltage with respect to ground as a function of time, and sketch it, for positive time.