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[Omnibus]

@teslaalset,

Imagine you're given the RC circuit shown below and imagine the applied voltage is:

Vin = Vm sin(2Pift).

Theory of electricity requires that the current through that circuit be

Iin = Vin/Z

which amounts to the following clumsy expression (especially clumsy where there are no LaTeX provisions):

Iin = (Vm sin(2Pift + arctan (R/(1/(2PifC)))/(R + (1/(2PifC)))

The above expressions for Vin and Iin come straight from the circuit theory (please correct them if you see something missing). From these expressions we can at once plot the I and V curves for some concrete values of Vm, f, C and R. Once we have these concrete waves plotted, we can do the numerical integration of the momentary IV and I^2R in the usual manner. What we will find is that at certain values of Vm, f, C and R the theory of electricity itself proves that overunity is inherently contained in it. We can also show, as already has been done, that such result (overunity) coincides with the results from an experiment carried out at the same conditions. This is an ironclad way of proving the reaity of OU -- production of excess energy (OU) in electrical systems has been proved beyond a shadow of a doubt. This supplements the already found production of excess energy (OU) in mechanical and electrochemical systems.

[broli]

@teslaalset,

Imagine you're given the RC circuit shown below and imagine the applied voltage is:

Vin = Vm sin(2Pift).

Theory of electricity requires that the current through that circuit be

Iin = Vin/Z

which amounts to the following clumsy expression (especially clumsy where there are no LaTeX provisions):

Iin = (Vm sin(2Pift + arctan (R/(1/(2PifC)))/(R + (1/(2PifC)))

The above expressions for Vin and Iin come straight from the circuit theory (please correct them if you see something missing). From these expressions we can at once plot the I and V curves for some concrete values of Vm, f, C and R. Once we have these concrete waves plotted, we can do the numerical integration of the momentary IV and I^2R in the usual manner. What we will find is that at certain values of Vm, f, C and R the theory of electricity itself proves that overunity is inherently contained in it. We can also show, as already has been done, that such result (overunity) coincides with the results from an experiment carried out at the same conditions. This is an ironclad way of proving the reaity of OU -- production of excess energy (OU) in electrical systems has been proved beyond a shadow of a doubt. This supplements the already found production of excess energy (OU) in mechanical and electrochemical systems.

I attached a more pleasant one to the eye. I noticed you divided R/Xc to get the angle but it should be Xc/R.

Since I have mathematica I can do the integrals and see what it gives.

[teslaalset]

Vin = Vm sin(2Pift).
Theory of electricity requires that the current through that circuit be
Iin = Vin/Z
Iin = (Vm sin(2Pift + arctan (R/(1/(2PifC)))/(R + (1/(2PifC)))

@Omnibus, thanks for explaining again.
This clears up my gap in understanding in what area you found OU.

This explanation points out the difference in your and my way of calculation.
You are using time as a variable, while my model uses angle as a variable.
Of course, both should end up in identical results.
So, I will make an additional tab in my Excel model where time is used as the variable.

To verify my model, the Java model of the Falstad website will be of great use, thanks again Broli for finding this tool

[blueplanet]

Vin is a pulse chain. The expression Vin = Vm sin(2Pift) shouldn't be used in calculating the input or output power unless it is a pure monotonic sine wave.

[broli]

Vin is a pulse chain. The expression Vin = Vm sin(2Pift) shouldn't be used in calculating the input or output power unless it is a pure monotonic sine wave.

Just before I go hang myself...what makes you think Vin is a "pulse train"?