If the collector of a transistor is connected to the base terminal, the transistor continues to operate in the forward-active mode, since the \(\mathrm{B}-\mathrm{C}\) junction is not reverse biased. Determine the small-signal resistance, \(r_{e}=v_{c e} / i_{e}\), of this two-terminal device in terms of \(g_{m}, r_{\pi}\), and \(r_{o}\).