[sci.electronics] Tx with no collector connection?

roy@phri.UUCP (Roy Smith) (07/05/89)

	Sigh, it's amazing how much you can forget after college.  I was
browsing through one of those TAB books (The Humungus Book of Electronic
Circuits, or something like that) looking for RF mixer ideas.  I found one
that looked useful and sat down to analyize it.  First, the DC model: open
all the capacitors, short the inductors, and see what's left.  For one of
the stages, I got:


                  o +6V
                  |                          [key to ascii art: < and > are
                  >                          resistors, V are ground points,
                  < 10k       C              and the transistor is NPN]
                  >         /              
                  |     B |/
                  +-------|
                  |       |\
                  >         \ E
                  < 2.2k     |
                  >          <
                  |          > 1k
                  V          <
                             |
                             V

	There are, of course, connections to the collecter, but all of them
use a capacitor as a series element, so there is no DC collector connection
at all.  How does one go about analysing a DC circuit like this?

	After taking the thevinin equivalent of the 10k/22k voltage divider
you get 1.1V through 1.8 k.  Assuming Q is active, you use KVL to write

	1.8V = 1.8k*Ib + 0.7V + 1k*Beta*Ib

and solve for Ib.  This gives you an open-circuited current source of
(Beta+1)*Ib at the collector.  Obviously, with Ic=0, Q is cutoff, but
that's not very useful.  Am I missing something?

	If it helps, the AC model sees the modulated signal fed in via a
series capacitor at the base terminal, and the Local Oscillator fed in at
the emitter, above the 1k resistor.  The down-converted signal is picked
off the collector.  Presumably this uses product detection, but I don't see
where the product comes from either.
-- 
Roy Smith, Public Health Research Institute
455 First Avenue, New York, NY 10016
{allegra,philabs,cmcl2,rutgers,hombre}!phri!roy -or- roy@alanine.phri.nyu.edu
"The connector is the network"

abali@parts.eng.ohio-state.edu (Bulent Abali) (07/05/89)

In article <3834@phri.UUCP> roy@phri.UUCP (Roy Smith) writes:
=  First, the DC model:
=
=
=                  o +6V
=                  |                          [key to ascii art: < and > are
=                  >                          resistors, V are ground points,
=                  < 10k       C              and the transistor is NPN]
=                  >         /              
=                  |     B |/
=                  +-------|
=                  |       |\
=                  >         \ E
>                  < 2.2k     |
>                  >          <
=                  |          > 1k
=                  V          <
=                             |
=                             V
=
=	There are, of course, connections to the collecter, but all of them
=use a capacitor as a series element, so there is no DC collector connection
=at all.  How does one go about analysing a DC circuit like this?
=
=	After taking the thevinin equivalent of the 10k/22k voltage divider
=you get 1.1V through 1.8 k.  Assuming Q is active, you use KVL to write
=
=	1.8V = 1.8k*Ib + 0.7V + 1k*Beta*Ib
=and solve for Ib.  This gives you an open-circuited current source of
=(Beta+1)*Ib at the collector.  Obviously, with Ic=0, Q is cutoff, but
=that's not very useful.  Am I missing something?

Ic=0, therefore Ib=Ie  (Ie to be taken out of the emitter).
Voltage division at the base gives 6*2.2/(10+2.2)=1.08V. Therefore,

        1.08V = 1.8K*Ib + 0.7 + 1K*Ib

You have nothing to do with Beta in the DC model, because the transistor
is not in the active region. Base acts like a forward biased diode.

-=-
Bulent Abali
Ohio State Univ., Dept.of Electrical Eng.
2015 Neil Av. Columbus, Ohio 43210
abali@baloo.eng.ohio-state.edu