T
Tim Wescott
Guest
On 12/08/2010 01:19 AM, Rich Grise wrote:
1,0,1,0,1,0,... is the root of the mean of 1,0,1,0,1,0,... which is the
root of 1/2, which is 0.707 (etc.).
you're driving a resistor with a pulsed 12V supply with a 50% duty cycle
(which I think is what Phil was positing), then the current through the
resistor will be I = 12V / R when the thing is on, and I = 0A when the
thing is off. The average power delivered to the resistor will be
1/2((12V)^2 / R + 0), which is (sqrt(1/2) * 12V)^2 / R -- which is the
same power as you'll see dissipated in the resistor if the voltage were
a steady sqrt(1/2) * 12V.
If, on the other hand, you're a resistor on the other side of the output
filter in a switch-mode supply, then the resistor will see the average
voltage -- 6V. In this case the current in the resistor is a steady
(6V) / R, and the power is half as much as if the output filter weren't
there. So in this case the RMS voltage doesn't tell us much, although
the RMS current in the inductor is what you'll need to calculate wiring
losses.
--
Tim Wescott
Wescott Design Services
http://www.wescottdesign.com
Do you need to implement control loops in software?
"Applied Control Theory for Embedded Systems" was written for you.
See details at http://www.wescottdesign.com/actfes/actfes.html
Do the math again. The root of the mean of the square ofpanfilero wrote:
Other answers that mentioned sine waves.... I never mentioned sine
waves... I never even mentioned a square wave, I just said a wave that
was high for 50% of the period... basically a pulse waveform with a
duty cycle of 0.5, if you do the math on this, the rms value of a
pulse is it's peak times the square root of the duty cycle, for Vin =
10V, and D = 0.5 you get 7.07V
Vin * sqrt(D) = 7.07V
No, that only applies to a sine wave. For pulses, it's a straight
1-to-1 because the sides are straight up and down. i.e., 50% duty
cycle yields 50% power, and so on. But only for pulses and rectangular
waves. For triangle waves, it's another equation, for sines you use
RMS, and so on.
1,0,1,0,1,0,... is the root of the mean of 1,0,1,0,1,0,... which is the
root of 1/2, which is 0.707 (etc.).
A good way to think about it is "effective in what situation". IfMaybe a good way to think of it would be the "effective" value.
you're driving a resistor with a pulsed 12V supply with a 50% duty cycle
(which I think is what Phil was positing), then the current through the
resistor will be I = 12V / R when the thing is on, and I = 0A when the
thing is off. The average power delivered to the resistor will be
1/2((12V)^2 / R + 0), which is (sqrt(1/2) * 12V)^2 / R -- which is the
same power as you'll see dissipated in the resistor if the voltage were
a steady sqrt(1/2) * 12V.
If, on the other hand, you're a resistor on the other side of the output
filter in a switch-mode supply, then the resistor will see the average
voltage -- 6V. In this case the current in the resistor is a steady
(6V) / R, and the power is half as much as if the output filter weren't
there. So in this case the RMS voltage doesn't tell us much, although
the RMS current in the inductor is what you'll need to calculate wiring
losses.
Well...Hope This Helps!
--
Tim Wescott
Wescott Design Services
http://www.wescottdesign.com
Do you need to implement control loops in software?
"Applied Control Theory for Embedded Systems" was written for you.
See details at http://www.wescottdesign.com/actfes/actfes.html