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Registered Member #190
Joined: Fri Feb 17 2006, 12:00AM
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We only consider positive cycle. Capacitive reactance is about 1/.314 ohms Current peak is 69A Current RMS is about 49A if this was a full sinusoidal; however, half of cycle is zero Therefore current is average of 49 and zero which is about 24A Now, we add the load of 5A on parallel limb to get about 29A current read on meter.
Registered Member #152
Joined: Sun Feb 12 2006, 03:36PM
Location: Czech Rep.
Posts: 3384
IamSmooth wrote ...
Now, we add the load of 5A on parallel limb to get about 29A current read on meter.
So without the 5A load the meter wil read 24Arms? It should read zero.
My theory is that input power=power to load: The power on the load is 5*Uout watts. The peak mains input voltage is Uout/2. Because charging of the capacitors only occurs at the peaks, the RMS input current is 10A (at half volts=same power). This divides into two half-waves, but the meter reads only one, so it will read 5A RMS.
Registered Member #30
Joined: Fri Feb 03 2006, 10:52AM
Location: Glasgow, Scotland
Posts: 6706
jmartis has the right answer, but for the wrong reason, so he only gets half a cookie Hint: Moving coil meters do NOT read RMS (you must know this if you solved quiz 1)
Registered Member #30
Joined: Fri Feb 03 2006, 10:52AM
Location: Glasgow, Scotland
Posts: 6706
Yes, you can have the other half
The argument I used to figure this out was: *Moving coil meters read average current *Capacitors block DC and pass AC. DC is the same thing as average. Therefore, C1 passes no current on average, just an alternating ripple current. *Therefore the average current in the two meters must be the same: 5A
Assume the following: a. Vin(initial) = 0.010V b. No offset voltage c. operational amplifier is stable at unity gain closed loop d. assume BJT beta is very large
QUESTION: If the input voltage is increase to 0.010V (factor of 10), how much does Vout change? (need an actual number, not an equation) You must provide the reason too or you get no credit.
Registered Member #29
Joined: Fri Feb 03 2006, 09:00AM
Location: Hasselt, Belgium
Posts: 500
It is a logarithmic amplifier. increasing the input voltage 10 times increases the output voltage ln(10) times. This is because the emitter current is exponentially dependent on Vbe...and since the transistor beta is very high, collector current very nearly equals emitter current... Assuming "infinite" amplifier gain and op-amp input resistance, the output voltage will be
Vo = -Vt * ln(Vin / (R * Io))..
or thereabouts.. Vt is the thermal equivalent voltage (about 0.026V) and Io is the reverse saturation current.(around 1e-14A).
All this assumes that the transistor is in the forward operating region..
Registered Member #30
Joined: Fri Feb 03 2006, 10:52AM
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Sorry EV, no half cookie for you! The relationship between average and RMS is a complex one that depends on a bunch of things, like conduction angle of the diodes, supply inductance, etc. If it works out as "3" then it's by sheer luck :P
Your log amp would be unstable even if the op-amp was unity-gain stable, due to the extra loop gain added by the transistor. So I'll guess Vout will be about 20V of high frequency crud.
Registered Member #15
Joined: Thu Feb 02 2006, 01:11PM
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Posts: 3068
Steve Conner wrote ...
Sorry EV, no half cookie for you! The relationship between average and RMS is a complex one that depends on a bunch of things, like conduction angle of the diodes, supply inductance, etc. If it works out as "3" then it's by sheer luck :P
Sorry Steve. Do the math, or even do the simulation. The RMS current is indeed 15A. I did this first by calculation, and then verified it with PSPICE. I'll even build the circuit up in the lab to prove this. So give me my damn cookie! I want a whole one now!
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