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G8MNY  > TECH     20.03.05 23:44l 81 Lines 4180 Bytes #999 (0) @ WW
BID : 37713_GB7CIP
Read: DK7JAN GUEST
Subj: AC Theory
Path: DB0FHN<DB0NOE<DB0GAP<DB0FSG<DB0MRW<DB0WUE<DK0WUE<I0TVL<ED1ZAC<GB7YKS<
      GB7YFS<GB7CIP
Sent: 050320/1900Z @:GB7CIP.#32.GBR.EU #:37713 [Caterham] $:37713_GB7CIP
From: G8MNY@GB7CIP.#32.GBR.EU
To  : TECH@WW

By G8MNY                                            (Updated Dec 04)

RMS is the DC equivalent power of AC, & for a sine wave is 70.7% of the peak
value. eg the peak value is û2 (1.414) time bigger than the RMS meter reading!

340v PK_+    _                                     +
240v____³  /' '\ Sine Wave                 240v 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  ³   ³   ³   ³                           _³_________   
       ³  ³   ³   ³   ³                            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.
eg. a kettle in watts & a transformer in VA.

At power stations the amount of Volt Amp Reactive (VARS) is monitored as a
indication of how much wasted energy flows to & from the customers, just
heating up the cables.

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

I    IN PHASE            LEADING 90ø         LAGGING 90ø       AT SOME ANGLE
³    _               _               _           _                _
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
³    _       _      ³ + & - Power       ³ - & + Power       ³ - & + Power
³   / \     / \    +³ Zero Net power   +³ Zero Net Power   +³   _       _
³  ³   ³   ³   ³    ³  _       _        ³      _       _    ³  / \     / \
³  ³   ³   ³   ³    ³ / \     / \       ³     / \     / \   ³ ³   ³   ³   ³
³_/_ _ _\_/_ _ _\_  ³³ _ ³ _ ³ _ ³ _    ³  _ ³ _ ³ _ ³ _ ³  ³ ³ _ ³ _ ³ _ ³ _
³ Always Positive   ³    ³   ³   ³   ³  ³³   ³   ³   ³   ³  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


Why Don't U send an interesting bul?

73 De John, G8MNY @ GB7CIP              


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