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#1
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Hi,
You have declared a frequency of 1Hz (i.e. one cycle per second) for your source. OK, now draw a sine wave with a triangular wave of the same peak amplitude inside it. You should be able to see that the initial slope (di/dt) of the triangle is much greater than one amp per second, in fact it is four times that since it reaches its peak in a quarter of a second. Now look at the sine wave - at the crossing it is steeper than the triangle. Cheers - Joe |
#2
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Hi,
You have declared a frequency of 1Hz (i.e. one cycle per second) for your source. OK, now draw a sine wave with a triangular wave of the same peak amplitude inside it. You should be able to see that the initial slope (di/dt) of the triangle is much greater than one amp per second, in fact it is four times that since it reaches its peak in a quarter of a second. Now look at the sine wave - at the crossing it is steeper than the triangle. Cheers - Joe |
#3
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Well, I wish I could do a good drawing here... but
If we assume that at 0deg, voltage is zero, then, at 90 degrees, voltage is max. With a perfect inductor, current lags voltage by 90 degrees, so current is 0. Current is a sine wave. So.. why isn't di/dt==1 at this point? Joe McElvenney wrote: Hi, John is right, di/dt isn't equal to one here. You are mixing up seconds and degrees. Cheers - Joe |
#4
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James W wrote:
at the 90deg point, the I curve is crossing the zero point. It's a sine wave. Sine waves of amplitude 1 have a slope of 1 at the zero crossing, no? No. If the period is 1 and the peak to peak amplitude is 1, the only way the slope could be 1 would be if it were a saw tooth wave. -- John Popelish |
#5
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Hi,
John is right, di/dt isn't equal to one here. You are mixing up seconds and degrees. Cheers - Joe |
#6
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John and Joe are obviously correct... and I... am an idiot.
Gentlemen, thanks for helping... it took me a while.. but now I've got it.. - jim John Popelish wrote: James W wrote: Consider a simple inductive cicuit with a 1v(p-to-p) AC source at 1Hz,and an inductor with Z=1ohm. The inductors value would be 1ohm=2*pi*1Hz*L, so L= 1/2pi Looking at the standard Voltage and Current drawings, we see current lagging voltage by 90degrees. Here's my problem. At 90 degrees, the applied voltage is 1volt. The current is zero. di/dt is 1, (snip) Tell me how you arrived at this di/dt. |
#7
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James W wrote:
.... Gentlemen, thanks for helping... it took me a while.. but now I've got it.. Glad to help. -- John Popelish |
#8
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James W wrote:
.... Gentlemen, thanks for helping... it took me a while.. but now I've got it.. Glad to help. -- John Popelish |
#9
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at the 90deg point, the I curve is crossing the zero point. It's a sine
wave. Sine waves of amplitude 1 have a slope of 1 at the zero crossing, no? - jim John Popelish wrote: James W wrote: Consider a simple inductive cicuit with a 1v(p-to-p) AC source at 1Hz,and an inductor with Z=1ohm. The inductors value would be 1ohm=2*pi*1Hz*L, so L= 1/2pi Looking at the standard Voltage and Current drawings, we see current lagging voltage by 90degrees. Here's my problem. At 90 degrees, the applied voltage is 1volt. The current is zero. di/dt is 1, (snip) Tell me how you arrived at this di/dt. |
#10
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John and Joe are obviously correct... and I... am an idiot.
Gentlemen, thanks for helping... it took me a while.. but now I've got it.. - jim John Popelish wrote: James W wrote: Consider a simple inductive cicuit with a 1v(p-to-p) AC source at 1Hz,and an inductor with Z=1ohm. The inductors value would be 1ohm=2*pi*1Hz*L, so L= 1/2pi Looking at the standard Voltage and Current drawings, we see current lagging voltage by 90degrees. Here's my problem. At 90 degrees, the applied voltage is 1volt. The current is zero. di/dt is 1, (snip) Tell me how you arrived at this di/dt. |
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