I am stuck with the following question
Theoretically, for the network of Fig 11.7, what value of RL should result in maximum power to RL. I am doing Thevenin's theorem Validating the condition RL = Rth.
circuit is the series
Fig 11.7 is Eth 8v, R1 327, RL is the 1k (measure .998k ohm) pot from
0 to lThanks in advance.
Boy, I've seen posts that assume that we all know the same thing, but this has to be some extreme limit.
Figure 11.7 in _what_? Are you asking us to do your homework for you?
-- Tim Wescott Wescott Design Services http://www.wescottdesign.com Do you need to implement control loops in software? "Applied Control Theory for Embedded Systems" gives you just what it says. See details at http://www.wescottdesign.com/actfes/actfes.html
Sorry, they are are.
I should've answer this question. I am not asking you or anyone to do my home. I am trying to understand this question. Cause I have no clue as to what I suppose to thing about when I am looking at the circuit or the graph...
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Hello,
The way to go is damn easy.
You should be able to do this math.
Best regards, Helmut
Hello,
Why has the calculated power the unit V in your worksheet? (22.47V ???)
Helmut
What's your question?
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Formula for P Rload is
P max = I^2n * Rl /4
24.46mA^2 & .327 kohm / 448.910mW :-)
Cool thanks
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Oooh, thanks :-)
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Hello,
It seems you really need help. Vb=8V, R1=330
V=Vb*RL/(R1+RL)
P=V^2/RL
P=Vb^2*RL/(R1+RL)*RL/(R1+RL)/RL
P=Vb^2*RL/(R1+RL)^2
dP/dRL=Vb^2*(1/(R1+RL)^2-2*RL/(R1+RL)^3)
0=Vb^2*(1/(R1+RL)^2-2*RL/(R1+RL)^3)0=1/(R1+RL)^2-2*RL/(R1+RL)^3
1/(R1+RL)^2=2*RL/(R1+RL)^31=2*RL/(R1+RL)
R1+RL=2*RL
R1=RL
RL=R1 for max. power RL=330Ohm
P=Vb^2*RL/(R1+RL)^2
Pmax = Vb^2*R1/(R1+R1)^2
Pmax=8*8*330/(660*660)W
Pmax=0.04848W
Best regards, Helmut
There's a simple non-calculus method of showing this but it's what can be called cumbersome after you spell every damned thing out for a person on this level, sheesh: View in a fixed-width font such as Courier.
. . . . . + V1 - . . .---[R1]->>---. . | | + . | -I-> | . Es --- [Rx] Vx . - | . | | - . | | . .-------->>---' . . . . Some basic circuit formulas: . . . Es= V1 + Vx , sum of voltage drops is Es . . . Es . I = ------- , ckt I is Es divided by total R . R1 + Rx . 2 . Es . Pt = Es x I = ------ , total power delivered by Es to ckt . R1 + Rx . . . P1 = V1 x I . power dissipated in R1 . . . R1 . = Es x ------- x I . R1 + Rx . . . . Px = Vx x I , power dissipated in Rx . . Rx . = Es x ------- x I . R1 + Rx . . . Px Rx . then -- = -- . P1 R1 . . . also Pt= Es x I = ( V1 + Vx ) x I= V1 x I + Vx x I= P1 + Px . . . . Pt = P1 + Px . . 2 . Es . define Pto = -- = power delivered by Es when Rx = 0, . R1 . . . note that Pt ranges over 0
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