*7.41 We wish to design the amplifier circuit of Fig. 7.20 under the constraint that V CC is fixed. Let the input signal vbe = ˆ V be sin ωt, where Vˆbe is the maximum value for acceptable linearity. For the design that results in the largest signal at the collector, without the BJT leaving the active region, show that R CIC = VCC −0.31+ VVˆbe T and find an expression for the voltage gain obtained. For V CC = 3 V and Vˆbe = 5 mV, find the dc voltage at the collector, the amplitude of the output voltage signal, and the voltage gain.