From: Subject: 4QD-TEC: Multivibrators and Relaxation Oscillator Circuits Date: Wed, 10 Aug 2011 10:28:05 -0700 MIME-Version: 1.0 Content-Type: multipart/related; type="text/html"; boundary="----=_NextPart_000_0000_01CC5748.30B8EFF0" X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.6109 This is a multi-part message in MIME format. ------=_NextPart_000_0000_01CC5748.30B8EFF0 Content-Type: text/html; charset="Windows-1252" Content-Transfer-Encoding: quoted-printable Content-Location: http://www.4qdtec.com/mvibs.html 4QD-TEC: Multivibrators and Relaxation Oscillator = Circuits

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Multivibrators,=20 relaxation oscillators and their allies.

Multivibrators: an old, well known and boring subject. No - not at = all: there=20 are lots of different ways of looking a them and they are not at all = what they=20 may seem.=20

What exactly is a multivibrator? I suppose one definition would be 'a = circuit=20 which has several states'. This will do for now, it's quite loose so = leaves=20 plenty to the imagination! Conventional multivibrators have only two = stages and=20 come in three flavours: astable (where neither state is stable and the = circuit=20 oscillates between the two states); monostable (where one state is = stable, the=20 other transient). And bistable, where the circuit can be flipped from = state one=20 to state two. The fact that it can be 'flopped' back again leads to = another term=20 'flip-flop' - but you can call an astable an astable flip-flop! Then you = can get=20 tristables - and one circuit I shall introduce is a 'donkey simulator' = where 3=20 transistors are combined to make 3 separate astable mulivibrators!=20

And what is a relaxation oscillator? A circuit which changes 'slowly' = from=20 one level to another at which it resets to the first state and starts = changing=20 again.=20

The two descriptions may seem totally different - but are in fact the = same=20 thing - or at least there is a distinctly grey area where they overlap, = as I=20 will show. There are also a lot of other oscillator circuits which = aren't quite=20 conventional multivibs or relaxation oscillators..=20

1: The 'common' Astable multivibrator.

A circuit which I = find pretty=20 boring but, if I don't introduce it first, how am I to elaborate on all = its more=20 interesting relatives?=20

Operation

Assume that the Tr1 is turned hard on (if you've = indexed=20 this site by 'hard on' sorry - it's not for you!) and Tr2 is not = conducting, so=20 the right end of C2 is at Vcc: current is flowing into the base of Tr1 = via R3=20 causing it to conduct, so the left end of C1 is at 0v.=20

Assume C1 is not charged: its left end is clamped to 0v by Tr1 but = its right=20 end is being fed from Vcc via R1, so it will start to charge up through = R1, its=20 right end moving positive towards Vcc. At a certain point there will be = enough=20 voltage on the right end of C1 to cause Tr2 to start conducting.=20

As Tr2 starts to turn on, Tr2's collector will start to fall and will = pull=20 down the right hand end of C2. Since C2 is a capacitor, the voltage = across it=20 cannot suddenly change so the left hand end of C2 will also start to = fall. This=20 will rob current from Tr1 which will start to turn off and its collector = voltage=20 will start to rise. As it does so, C1 will feed this rising voltage into = Tr2's=20 base, helping it to turn on - so the circuit will 'collapse' into a = state where=20 Tr2 is fully on and Tr1 is fully off.=20

As Tr2 quickly switches from off to on, its collector falls from Vcc = to 0v=20 and (by capacitor action) the base of Tr1 will be reversed biased from = about=20 0.6v to (Vcc-0.6v) below earth as the left end of C2 follows the right = end=20 downwards.=20

Now R3 starts to charge C2's left end positively from near -Vcc = (below the 0v=20 line) towards 0v and past 0v towards Vcc. Remember that Tr2 is turned = on, so the=20 right end of C2 is clamped to 0v (via Tr2).=20

As the left hand end of C2 gets to around +0.6v, Tr1 starts to = conduct and=20 the sequence repeats.=20

So the circuit switches between two states, Tr1 on (Tr2 off) and Tr2 = on (Tr1=20 off). The time in each state is determined by R1C1 and R3C2 and is = 0.69CR (but=20 read on). So the circuit gives a 50:50 mark space and is a 'fairly' = reliable and=20 predictable oscillator. The values shown will give a frequency around = 1kHz (0.5=20 mSec on, 0.5mS off).=20

I say 'fairly' reliable because there are a couple of points... = Imagine that=20 Tr1 and Tr2 are both conducting and both capacitors are 'discharged': = R1's=20 current flows into Tr2 and R3's current flows into Tr1. The capacitors = are=20 'discharged' so no current is flowing in them: the circuit is in a = stable state=20 and is not oscillating. This condition happens and is probably the = biggest=20 single problem with the common multivibrator - and with several of its=20 relatives.=20

The 'astable multivibrator' (to give this circuit its 'proper' name = was=20 invented in the days of valves and was common with early germanium = transistors.=20 These has a gain of maybe 20 (gain is the ratio of collector current to = base=20 current: feed 1 microamp into the base of a transistor and, with a gain = of 20,=20 you will get 20 microamps collector current). With these typically R2 = and R4=20 might be 1K, R1 and R3 10K. Then silicon transistors came out: these had = higher=20 gains. This 'failure to oscillate' became common: silicons had more gain = and the=20 circuit oscillates more reliably if the transistors are not turned too = hard on:=20 I've chosen R1:R2 of 100, which would suit a transistor having a gain of = at=20 least 100.=20

Nevertheless: I would not use such a simple multivib in a critical = part of a=20 commercial circuit today, because it can fail to start. But it remains = an=20 interesting circuit and a good learning exercise!=20

As I have said, the period of the multivib is 0.69CR. But this only = applies=20 for low voltages. When one transistor turns on, the base of the other = transistor=20 gets pulled very hard negative (well below the 0v line) and the base is = turned=20 off. But transistor base junctions cannot stand a lot of reverse = voltage: modern=20 ones seem to be around 10v. If you try and put a larger reverse voltage = on the=20 base - the transistor base emitter junction conducts like a zener diode. = This=20 interferes with the formula - and you get a shorter time than you = expect.=20

2: Asymmetrical multivibrator.

The second problem with the simple circuit, above, is that its edges = aren't=20 very sharp. Just after Tr1 turns off, full Vcc is present across C1 so = there is=20 a small voltage drop across R2 from this: the charging of C2 tends to = round the=20 edges and make them less than ideally sharp.=20

The second circuit shows one way round this. Note that the values in = one half=20 are 10 times those in the other half: the times of both halves remain = the same=20 but the 'rounding' effect on Tr1 is reduced by the smaller C1. The = trade-off is=20 that Tr2's collector waveform is made much worse by the larger C2 = reacting with=20 the increased R4.=20

The asymmetrical circuit also is more reliable: since the two halves = are not=20 equal the chance of them both switching on together is reduced.=20

3: A multivib in disguise.

If you want to draw a multivibrator so it confuses an engineer, try = this=20 circuit. If you compare it with the basic multivib - it is actually the = same.=20 But it is drawn like a two stage a.c. coupled amplifier, with overall = a.c.=20 feedback. It doesn't look symmetrical, doesn't appear to have two = identical=20 halves. The way you draw a circuit is important. A badly drawn circuit = can hide=20 the circuit's function and confuse the reader!=20

4: Complementary Multivibs.

An obvious fact: for all transistor circuits there exists a = complement,=20 replace all PNP transistors by NPN and vice versa, reverse all diodes = and other=20 2 terminal polarised components. An identical but complementary circuit = results.=20 This is one of the nice things you can do with transistors - but not = with ICs.=20 Virtually all ICs have a negative earth and do not work in a = complementary=20 version. The reasons for this are mainly historical - the early silicon=20 transistor fabrication made better NPN transistors than PNP. Although = modern=20 fabrication makes both, there are very small intrinsic performance = differences=20 (due to differences in electron and hole flow) and NPN is therefore the = more=20 common model.=20

But in most two transistor multivib circuits it is possible to = replace one of=20 the transistors by its complement (i.e. turn half the circuit = 'upside-down' and=20 the circuit still works. The operation is changed, and sometimes some = head=20 scratching is required to see the result! Nevertheless it remains a = fascinating=20 and instructive exercise!=20

The diagram above shows the standard multivib with one stage made = into its=20 complement. The circuit may look incredibly similar - but the operation = is=20 dramatically changed! Instead of the transistors alternating now they = both=20 switch on together. The circuit, with an almost trivial change, has = stops being=20 a multivibrator and has become a relaxation oscillator!=20

Which should explain why I do not consider these to be two to be = distinct=20 types of circuit! Names are language things: the real world is a = continuum and=20 doesn't neatly fit the pigeonholes of language!=20

Since both transistors conduct simultaneously, the on period is a = short pulse=20 followed by a long recovery symptomatic of a relaxation oscillator. To = increase=20 the on time, resistors can be put in series with the capacitors as is = done in=20 the circuit below.=20

Yes - this is a slightly different circuit to the above: one of the = many=20 circuits I've collected over the years. Source unknown.=20

Since the collector resistors are connected one each to 0v and to = Vcc, why=20 not use a common collector resistor? Indeed - why not also a common base = resistor. Both varieties oscillate - so too does the circuit below.=20

We have derived this, by a few transformations, from a common = multivib. Yet=20 this is a series connected multivib! Another language thing, the changes = in the=20 real world are trivial! It lead us into a whole new class of = multivibrators -=20 where the elements are connected in series rather than in parallel as = the first=20 example. And of course, you can do the same PNP - NPN transformations as = for the=20 conventional circuit.=20

5: Series Multivibs.

The above S.M.V. had was common emitter (the emitters were connected = to the=20 supply lines). But for a lot of simple circuits, consider the supply to = be a two=20 lead component (a battery). Circuit elements in series can be = re-arranged, their=20 order is not important. So let's take our first two complementary = multivibs and=20 re-arrange them a bit....=20

A nice, well behaved oscillator circuit. The diode isn't really = needed but it=20 does improve the waveform available on the emitters so that a good = sawtooth is=20 available. The values shown give a pulse of about 30=B5Sec every 37mSec. = The pulse=20 output may be taken from either collector.=20

Note also that both halves of this circuit are emitter followers and = an=20 emitter follower has a voltage gain of less than 1. Have you been taught = that=20 you need voltage gain to make an oscillator? It's not true, current gain = alone=20 is enough!=20

6: Emitter Coupled Multivibs.

Here's another very simple circuit which oscillates well, even if it = gives a=20 lousy waveform!=20

More Multivibs.

Warning This page is going to be long: I have a lot of this = type of=20 circuit, there is a lot to say. I'm not finished yet but I guess you'd = prefer=20 half a page now than a whole page later, so here are a few more circuits = (in no=20 particular order) that I'm about to write up... There are many more I = have not=20 yet transferred to the computer!=20

Page Information

=A9 1996-2010 4QD-TEC
Page's Author: = Richard Torrens=20
Site hosted by Arachsys =
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ActiveXObject("Microsoft.XMLHttp"); else var httpRequest =3D new XMLHttpRequest(); } catch(err) { return ErrorHandler(); } =09 /* ############################### Overriding Methods: For each method define: 1. Private pointer to the original function 2. Privileged method to override the original function The scan is done on the input variable ################################### */ /* -------------- Eval ------------- */ //Storing the original method in private variable var AVG_eval =3D eval; =09 =09 //Defining privileged method to override the original function var Chck_eval =3D function (inpStr) { if (isEmpty(inpStr)) return AVG_eval(inpStr);=20 if (checkData(inpStr, AVG_eval)) { try { res =3D AVG_eval(inpStr); return res; } catch(err){} } } //Overriding the original function //window.eval =3D Chck_eval; /* = -------------------------------------------------------------------------= ---------- */ /* -------------- document.write & document.writeln ------------- */ //Storing the original method in private variable var AVG_docWrite =3D document.write; var docWrite_Stuck=3Dnew Stuck(5); =09 var AVG_docWriteln =3D document.writeln; var docWriteln_Stuck=3Dnew Stuck(5); =09 //Defining privileged method to override the original function var Chck_docWrite =3D function (inpStr) { =09 if (arguments.length >1) { for(var i=3D1; i1) { for(var i=3D1; i1) { for(var i=3D1; ithis.size) { this.StuckArray.pop(); } this.StuckArray.unshift(String(item)); }; =20 //finds if item exists this.find =3D function(item){ var s_item=3DString(item); for (var i=3D0;i

4QD-TECCircuits Archive

4QD-TEC: Electronics Circuits Reference Archive Multivibrators,=20 relaxation oscillators and their allies.