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G8MNY  > TECH     21.11.18 10:02l 86 Lines 4451 Bytes #999 (0) @ WW
BID : 46270_GB7CIP
Read: GUEST
Subj: AC Theory
Path: IW8PGT<IR2UBX<SR1BSZ<GB7CIP
Sent: 181121/0800Z @:GB7CIP.#32.GBR.EURO #:46270 [Caterham Surrey GBR]
From: G8MNY@GB7CIP.#32.GBR.EURO
To  : TECH@WW

By G8MNY                                            (Updated Mar 08)
(8 Bit ASCII graphics use code page 437 or 850, Terminal Font)
RMS is the DC equivalent power of AC, & for a sine wave is 70.7% of the peak
value. e.g. the peak value is û2 (1.414) time bigger than the RMS meter
reading!

325V PK_+    _                                     +
230V____³  /' `\ Sine Wave                 230V DC_³__________
RMS     ³ ³50 Hz³  MAINS                           ³  D C
     0vÄ´³- - - -³- - - -³                      0vÄ´- - - - - -
        ³   A C   ³     ³                          ³
        -          \._./                           -
        0      10mS     20mS Time

     POWER   V x I                               POWER  V x I
        ³    _       _                             ³
        ³   / \     / \                            ³
   MEAN_³  Þ   Ý   Þ   Ý                          _³__________
        ³  Ý   Þ   Ý   Þ                           ³
        ³_/_ _ _\_/_ _ _\_                         ³_ _ _ _ _ _
          Power Sine Wave
          @ 2x Frequency

Unlike DC circuits in AC circuits the power is the mean of the Instantaneous
Power which is made from the instantaneous Voltage X instantaneous Current.

For complex non resistive power loads it is usual to use a term Power Factor to
describe the rating factor to be applied to the RMS Volts X RMS Amps to get the
true power rating. Some items are rated in Watts & some in VA depending on
which is the safer limit for that item.
e.g. a kettle is rated in watts & a transformer is rated in VA.

At power stations the amount of Volt Amp Reactive (VARS) is monitored as an
indication of how much wasted energy flows to & from the customers, just
heating up the transmission system. As the transmission lines are capacitive
some inductive power factor is a good idea as it tunes out this capacitance.

        ____                                  =====             ___   =====
    ÄÄÄ´____ÃÄÄÄ        ÄÄÄÄ´ÃÄÄÄÄ         ÄÄÄ())))ÄÄÄÄ      ÄÄ´___ÃÄÄ())))ÄÄ
    Pure Resistive     Pure Capacitor       Pure Inductor         Complex
V    _                   _                   _                   _
³  /' `\            ³  /' `\            ³  /' `\            ³  /' `\
³ ³     ³           ³ ³     ³           ³ ³     ³           ³ ³     ³
´³ - - - ³ - - - ³  ´³ - - - ³ - - - ³  ´³ - - - ³ - - - ³  ´³ - - - ³ - - - ³
³         ³     ³   ³         ³     ³   ³         ³     ³   ³         ³     ³
³          \._./   -³          \._./    ³          \._./    ³          \._./

    I IN PHASE          I LEADING 90ø       I LAGGING 90ø     I @ SOME ANGLE
I    _               _               _           _                _
³  /' `\            ³ `\           /'   ³      /' `\        ³   /' `\
³ ³     ³           ³   ³         ³     ³     ³     ³       ³  ³     ³
´³ - - - ³ - - - ³  ´ - -³ - - - ³      Å - -³ - - - ³ - -  Å ³ - - - ³ - - -
³         ³     ³   ³     ³     ³       ³   ³         ³     ³³         ³     ³
³          \._./    ³      \._./        ³_./           \._  ³           \._./
 No Current @ 0V     + max current @ 0V  - max current @ 0V   Some current @ 0V

Power_       _        + & - Power         - & + Power         - & + Power
³   / \     / \    +³ Zero Net power   +³ Zero Net Power   +³   _       _
³  Þ   Ý   Þ   Ý    ³  _       _        ³      _       _    ³  / \     / \
³  Ý   Þ   Ý   Þ    ³ / \     / \       ³     / \     / \   ³ Þ   Ý   Þ   Ý
³_/_ _ _\_/_ _ _\_  ³  _ Ý _ Þ _ Ý _    ³  _ Þ _ Ý _ Þ _ Ý  ³ Ý _ Þ _ Ý _ Þ _
³ Always Positive   ³    Þ   Ý   Þ   Ý  ³    Ý   Þ   Ý   Þ  ³/     \_/     \_/
³                   ³     \_/     \_/   ³ \_/     \_/       ³ some net power
³                  -³ Equal + - power  -³ Equal + - power  -³

  Power Factor 1.0    Power Factor  0.0   Power Factor 0.0    Power Factor 0.7

PHASE                  I                                        Current
      <-.             /³\ Current           ÚÄÄÄÄÄÄÄ>V          Lagging
Rotation `\            ³  Leading           ³90ø Current      ,ÄÄÄÄÄÄÄÄ>V
           |           ³90ø                 ³    Lagging       `-._  í Angle
   o ÄÄÄÄÄÄÄ>V & I     ÀÄÄÄÄÄÄÄÄ>V         \³/                     `->I
                                            I


See my Tech buls "Maplin Mains Meter 2000MU-UK", "UK 13A Fused Mains Plug", &
"Tuned Circuit Scope Demo".


Why Don't U send an interesting bul?

73 De John, G8MNY @ GB7CIP


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