Skip to main content

An Amateur’s View on the P2 [Part 1]


The P7 was the first prototype for an op-amp to use a varactor diode bridge as a means of producing an error signal amplified by transistors (rather than the conventional vacuum tubes or the later FETs). Conceptualized by George A. Philbrick (or Lewis R. Smith?), the prototype was simplified (well, a nitpicker may argue the extra circuit current) by Bob Malter resulting in one of the most profitable operational amplifiers ever to be sold, the P2.

Sporting input bias currents in the pA range (1x10e-12), the P2 drove a $220 demand, which was 1/8 to ½ (my source for this one is obscure) the price of a VW Beetle at the time. The cost of building a P2 paralleled that of a cheap radio – around $10 to $15, so you can just imagine how lucrative things were. The P2 dominated for 30 years, becoming obsolete only after the release of the LMC660, which now offers input bias currents at the fA range (1x10e-15).

My interest for the P2 was piqued once more by Paul Rako’s great post “What’s All this Varactor Input Amplifier Stuff, Anyhow?”. In the article, he delved into an improved schematic from the late Bob Pease and attempted a computer simulation out of it, an endeavor that proved partially unsuccessful due to unaccounted parasitics and magnetics. (I can hear Mr. Pease’s voice from the heavens right now shouting “What are you guys doing with my circuit on a computer?!”)

Anyway, we found out from the comments that LTSpice had the older form of the circuit, the P2, as an educational example. I am embarrassed myself of not knowing it was there and fortunate to discover that it was. So, here was a circuit, a high-profile industrial secret 40 years ago, free to the public for tweaking and vandalizing. It is an opportunity to expand our horizons on operational amplifier function and design, so I had a go at a couple of simulations below. Hopefully, I don’t hear Mr. Philbrick’s voice shouting at me anytime soon.


Figure 1. Schematic of the P2 in LTSpice.

The op-amp is configured as a simple inverting amplifier. The source is a pulse generator at 200mVpk-pk [0V DC offset] with an on and off time of 0.5 ms. Rise and fall times are set to 0.1 ms (why? Bob Pease mentioned in Jim William’s book that the slew rate of the P2 was awful – 0.03V/µsec. The P2 needed 33.33 µs to reach 1V at the output. Yuck! We’ll see the tolerance range for the rise and fall times in Part 2, where the circuit is truly vandalized). All current is flowing at R35 and the feedback resistor R3. 10µA will induce a 1V drop at R3. Since the other terminal is referenced to ground, the output voltage during the positive cycle of the input will be an inverted 1V [and vice versa during the negative cycle]. 

The alternative textbook formula [which I’ve grown to hate] for the gain of an inverting op-amp is -Rf/Ri. Such shortcuts have become lethargic to me. Solving yields –(100kohm/10kohm) = -10. 

You yourself may try the simulation out, and due to excitement, get an immediate figure similar to the one below. 



Figure 2 Immediate simulation result of the P2 in LTSpice.

The input is, of course, at the end of the resistor pulled down to ground by the coils of the bridge. You won’t get that from an ideal op-amp [re-drawn below for convenience].



Figure 3 Inverting amplifier configuration using an ideal op-amp.



Figure 4 Simulation result for the schematic in Figure 3.

For comparison, below is the simulation result of the P2 with the probe on the input pulse.



The strange trend at the output between 0 ms to 0.1 ms is because the output hasn’t reached 1V yet, so I introduced a delay of 0.1ms, to ensure that the cause isn’t effectuated by the start-up of the circuit.



Figure 5 Simulation result of the P2 with a delayed pulse.

Now to figure out the functions of each branch in the circuit. If my assumptions are correct, the labelled figure below should suffice to properly identify each region.



Figure 6 Comprehensive block analysis of the P2.

The oscillator feeds a sinusoidal “carrier” to the diode bridge to modulate the inputs. DC isolation is provided by the transformers. In reality, 2 pairs of well-matched diodes offset the leakage currents to a minimum.



Figure 7 Simulation result showing at what point the oscillator starts oscillating.

The simulation result for the output of the balanced bridge and gain/offset adjust is provided below.



4 stages of AC amplification later yields the waveform below.



Figure 8 AC signal after 4 stages of amplification.

After demodulation and DC amplification, the DC offset is brought down by the resistor divider network at the output. 



Figure 9 Output of DC amplifier

So, this is how the P2 amplifier works. Apparently, I tried to remove the capacitor that represented the stray capacitances of the circuit [did it include the miller capacitance?] but had no observable effect.

Then, I tried removing C40 and poof! The output railed to the negative supply! Was this the same phenomenon that Burr Brown’s rumored infamous ill-fated engineer experienced on his test bench those many decades ago?

If you have downloaded LTSpice, why not give it a try and share your thoughts or ideas on the matter.

Comments

Popular posts from this blog

Calculator Techniques for the Casio FX-991ES and FX-991EX Unraveled

In solving engineering problems, one may not have the luxury of time. Most situations demand immediate results. The price of falling behind schedule is costly and demeaning to one's reputation. Therefore, every bit of precaution must be taken to expedite calculations. The following introduces methods to tackle these problems speedily using a Casio calculator FX-991ES and FX-991EX.


►For algebraic problems where you need to find the exact value of a dependent or independent variable, just use the CALC or [ES] Mode 5 functions or [EX] MENU A functions.


►For definite differentiation and integration problems, simply use the d/dx and integral operators in the COMP mode.


►For models that follow the differential equation: dP/dx=kt and models that follow a geometric function(i.e. A*B^x).

[ES]
-Simply go to Mode 3 (STAT) (5)      e^x
-For geometric functions Mode 3 (STAT) 6 A*B^x
-(Why? Because the solution to the D.E. dP/dx=kt is an exponential function e^x.
When we know the boundary con…

Common Difficulties and Mishaps in 6.004 Computation Structures (by MITx)

Updated: 
May 6, 2018
VLSI Project: The Beta Layout [help needed]Current Tasks: ►Complete 32-bit ALU layout [unpipelined] in a 3-metal-layer C5 process. ►Extend Excel VBA macro to generate code for sequential instructions (machine language to actual electrical signals).
Current Obstacles/Unresolved Decisions:
►Use of complementary CMOS or pass transistor logic (do both? time expensive, will depend on sched.
►Adder selection: Brent-Kung; Kogge Stone; Ladner Fischer (brent takes up most space but seems to be fastest, consider fan-out) [do all? time expensive, will depend on sched.)
►layout requirements and DRC errors

Please leave a comment on the post below for advise. Any help is highly appreciated.




Yay or Nay? A Closer Look at AnDapt’s PMIC On-Demand Technology

Innovations on making product features customizable are recently gaining popularity. Take Andapt for example, a fabless start-up that unveiled its Multi-Rail Power Platform technology for On-Demand PMIC applications a few months back. (read all about it here: Will PMIC On-Demand Replace Catalog Power Devices?) Their online platform, WebAmp, enables the consumer to configure the PMIC based on desired specifications. Fortunately, I got a hands-on experience during the trial period (without the physical board (AmP8DB1) or adaptor (AmpLink)). In my opinion, their GUI is friendly but it lacks a verification method for tuning (i.e. the entered combination of specs). How would we know if it will perform as expected or if there are contradicting indications that yield queer behavior? Also, there is not just one IP available, but many that cater to a differing number of channels and voltage requirements (each with their own price tag).
Every new emerging technology has the potential to oversh…