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ALTERNATING CURRENT image (Alternating current in inductor (when an…
ALTERNATING CURRENT
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current which flow in alternate direction at regular intervale
the voltage produce by an AC is sinusoidal
V = Vo sin(ɯt) = Vo sin(2πft)
the current it produces is also sinusoidal
I = Io sin(ɯt) = Io sin(2πft)
Root - Mean - Square (R.M.S)
RMS of AC means equivalent value of a steady current which produces the same heating effect.
sinusoidal alternating voltage I = Io sin wt
squaring I
I = Io
Io sin*sin(wt)
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Alternating current in resistor
when an alternative voltage is connected to a resistor the current flow is in " phase "
difference phase=0; when phase between voltage and current is 0
resistance is know as the opposition of the flow of alternating current R = V / I ; R(rms) = Vrms / Irms
power dissipated in resistor: P=IV ; P=II R ; P= (V
V)/R*
in an AC circuit:
P=((Vo
sin wt)
(Vosin wt))/R
Average Power: P=(1/2)Po
Alternating current in inductor
when an Alternative voltage is connected to an inductor, THE VOLTAGE LED THE CURRENT BY A PHASE OF pi/2 RADIAN
I = (Vo/wl)* sinwt
REACTANCE, is knows as the opposition of the flow of current by inductor.
xl=(Vo/Io) xl=(Vrms/Irms)
inductive reactance, Xl: Xl = wl = 2pi*fL
the instane ous voltage, V=Vo*coswt
the instane ous current, I=Io*sinwt
instantaneous power transferred through inductor:
P = (1/2)
Po
(sin2wt)
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Alternating Current in capacitor
when an alternative voltage is connected to a capacitor, the voltage lags behind the current by a phase of pi/2 radian
" CONDUCTIVE REACTANCE " is known as the the opposition to the flow of the alternating current
reactance: Xc=(Vo/Io) ; Xc=V(rms)/ I(rms) ; Xc=(1/Wc)=(1/2pifc)
instantane ous voltage,
V = Vo*sinwt
instantane ous current, I = Io*coswt
instantaneous power;
P = (1/2)*Po(sin2wt)
average power = 0
