*10.48 It is required to show that the output resistance of the BJT circuit in Fig. P10.48 is given by R,= r, +[R,|| (*,,+ R,)]1+gm". + Ry To derive this expression, set V= 0, replace the BJT with its small-signal, hybrid-T model, apply a test voltage V, to the collector, and find the current I, drawn from V and hence R, as V,/I.. Note that the bias arrangement is not shown. For the case of R, = 0, find the maximum possible value for R: Note that this theoretical maximum is obtained when R. is so large that the signal current in the emitter is nearly zero. In this case, with V applied and 0, what is the current in the base, in the gmVn genera- S X. Vs tor, and in r, , all in terms of I, ? Show these currents on a sketch of the equivalent circuit with R, set to o.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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*10.48 It is required to show that the output resistance of
the BJT circuit in Fig. P10.48 is given by
R,= r, + [R_ || (rx + R,)] (1+
1 +gmr.
+ RB
To derive this expression, set V= 0, replace the BJT with
its small-signal, hybrid-T model, apply a test voltage V to
the collector, and find the current I, drawn from V, and
hence R, as V,/I.. Note that the bias arrangement is not
shown. For the case of R,
S
0, find the maximum possible
value for R,. Note that this theoretical maximum is
obtained when R, is so large that the signal current in the
emitter is nearly zero. In this case, with V, applied and
V. = 0, what is the current in the base, in the g„V7 genera-
tor, and in re, all in terms of I, ? Show these currents on a
sketch of the equivalent circuit with R, set to ∞.
R,
R.
V.
Re
Figure P10.48
Transcribed Image Text:*10.48 It is required to show that the output resistance of the BJT circuit in Fig. P10.48 is given by R,= r, + [R_ || (rx + R,)] (1+ 1 +gmr. + RB To derive this expression, set V= 0, replace the BJT with its small-signal, hybrid-T model, apply a test voltage V to the collector, and find the current I, drawn from V, and hence R, as V,/I.. Note that the bias arrangement is not shown. For the case of R, S 0, find the maximum possible value for R,. Note that this theoretical maximum is obtained when R, is so large that the signal current in the emitter is nearly zero. In this case, with V, applied and V. = 0, what is the current in the base, in the g„V7 genera- tor, and in re, all in terms of I, ? Show these currents on a sketch of the equivalent circuit with R, set to ∞. R, R. V. Re Figure P10.48
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