Alternating Current Flashcards
voltage in a AC circuit
V=Vm Sin(wt)
Current in a AC Circuit
I=Im sin(wt)
phase difference between current and voltage in purely resistive circuit
no phase difference
average value of AC in one cycle is
zero
The average value of a.c. over one half cycle is
0.637 times the peak value
0.637 * i
I(rms)
I(rms)= i/root 2
V(rms)
V(rms)=V/root 2
average power
<p>=I(mrs) ^2 * R
</p>
phase difference between current and voltage in purely inductive circuit
current lags by pi/2 or one quarter
i=i(m) sin( wt- [pi/2] )
v=v(m) sin(wt)
current in inductive circuit
i=Vm/wL sin(wt)
where
wL–>inductive reactance(denoted by XL)
Instantaneous power supplied to the inductor
PL= -1/2VmIm*sin(2wt)
average power in inductive circuit over a complete cycle is
zero
phase difference between current and voltage in purely capacitive circuit
current leads by pi/2
i=im sin(wt+pi/2)
v=vm sin(wt)
current in capacitive circuit
i = Comegavm* sin(omega*t + pi/2)
capacitive reactant
Xc=1/WC