**X MEANING IN OLD GREEK LANGUAGE**

**Discovery by Rudolf Bosnjak**

**To comprehend and understand my research work and
my research explanations and my drawings you must be sound engineer or electronic engineer
not archeologist. Explanations here are totally opposite from science of archeology.**

**Prava kopiranja
©. 2015. Sva prava pridržana. Rudolf Bošnjak.
Copyright ©. 2015 All rights reserved.
Rudolf (Boschnjak) Bosnjak.**

SERIES RESONANT FREQUENCIES EXPLANATION AS **X **IN GREEK LANGUAGE

**Prava kopiranja
©. 2015. Sva prava pridržana. Rudolf Bošnjak.
Copyright ©. 2015 All rights reserved.
Rudolf (Boschnjak) Bosnjak.**

__SERIES CIRCUIT CURRENT at RESONANCE__

IN PRESENT ELECTRONIC EXPLANATIONS

The frequency response curve of a series resonance circuit shows
that the magnitude of the current is a function of frequency and plotting this onto a
graph shows us that the response starts at near to zero, reaches maximum value at the
resonance frequency when I_{MAX} = I_{R}
and then drops again to nearly zero as ƒ becomes infinite. The
result of this is that the magnitudes of the voltages across the inductor, L and the capacitor, C can become many times
larger than the supply voltage, even at resonance but as they are equal and at opposition
they cancel each other out.

SERIES CIRCUIT CURRENT at RESONANCE** **IN PRESENT ELECTRONIC EXPLANATIONS AND WHAT MISSING HERE?
**MISSING A WIRE LOOP.**

As a series resonance circuit only functions on resonant frequency,
this type of circuit is also known as an **Acceptor Circuit** because at
resonance, the impedance of the circuit is at its minimum so easily accepts the current
whose frequency is equal to its resonant frequency.

You may also notice that as the maximum current through the circuit
at resonance is limited only by the value of the resistance (a pure and real value), the
source voltage and circuit current must therefore be in phase with each other at this
frequency. Then the phase angle between the voltage and current of a series resonance
circuit is also a function of frequency for a fixed supply voltage and which is zero at
the resonant frequency point when: V, I and V_{R} are all in phase with each other as shown below.
Consequently, if the phase angle is zero then the power factor must therefore be unity.

**Here I add all missing wire loop bottom and loop top and get something I find in old Greek
language as their explanations.**

AND I GET SERIES
CIRCUIT CURRENT at RESONANCE** **AS LINE COMPLEX CIRCUIT

as is shown IN OLD GREEK LANGUGE AS ELECTRONIC
EXPLANATIONS

**Prava
kopiranja ©. 2015. Sva prava pridržana. Rudolf Bošnjak.
Copyright ©. 2015 All rights reserved.
Rudolf (Boschnjak) Bosnjak.**

BELOW IS SAME SERIES CIRCUIT
CURRENT at RESONANCE** **AS LINE COMPLEX CIRCUIT

AND IN COMPLETE CIRCLE INSIDE SOMETHING

as is shown IN OLD GREEK LANGUGE AS ELECTRONIC EXPLANATIONS

__BANDWIDTH of a SERIES RESONANCE
CIRCUIT__

IN PRESENT ELECTRONIC EXPLANATIONS

Insert same values BW, FROM IMAGE ABOVE into IMAGE BELOW IN EACH __SERIES RESONANCE
CIRCUIT__ in BOTTOM and TOP...and
can comprehend and understand what is KNOWN AND WHAT WAS KNOWLEDGE
IN ANCIENT TIME...we acquire in last 100 years. But this knowledge did not come from old
Greek culture.

If the series RLC circuit is driven by a variable frequency at a
constant voltage, then the magnitude of the current, I is
proportional to the impedance, Z, therefore at resonance the
power absorbed by the circuit must be at its maximum value as P = I^{2}Z.

If we now reduce or increase the frequency until the average power
absorbed by the resistor in the series resonance circuit is half that of its maximum value
at resonance, we produce two frequency points called the **half-power points**
which are -3dB down from maximum, taking 0dB as the maximum current reference.

These -3dB points give us a current value that is 70.7% of its
maximum resonant value which is defined as: 0.5( I^{2} R
) = (0.707 x I)^{2} R. Then the point corresponding to the lower
frequency at half the power is called the “lower cut-off frequency”, labelled ƒ_{L} with the point corresponding to the upper frequency at
half power being called the “upper cut-off frequency”, labelled ƒ_{H}.
The distance between these two points, i.e. ( ƒ_{H} – ƒ_{L}
) is called the **Bandwidth**, (BW) and is the range of frequencies over
which at least half of the maximum power and current is provided as shown.

Regards Rudolf Bosnjak