Problem $2$

Two NPN BJTs are identical except that the emitter and collector region doping are interchanged as follows:

BJT #$1$:

$N_E={10}^{18}c{m}^{-3}$

$N_B={10}^{16}c{m}^{-3}$

$N_C={10}^{15}c{m}^{-3}$

BJT #$2$:

$N_E={10}^{15}c{m}^{-3}$

$N_B={10}^{16}c{m}^{-3}$

$N_C={10}^{18}c{m}^{-3}$

Which transistor is expected to have a greater common emitter gain, ${}_{DC}?$ Explain.