ALERNATING CURRENT Flashcards
DEFINE ALERNATING CURRENT
An alternating current can be defined as a current that changes its magnitude and polarity at regular intervals of time.
AC VOLTAGE APPLIED TO A RESISTOR
v =VM sinω
where vm is the amplitude of the oscillating potential
difference and w is its angular frequency.
The instantaneous power dissipated in the resistor is
p = i ^ 2 R
DEFINE RMS VALUE
To express ac power in the same form as dc power
(P = I2R), a special value of current is defined and used.
It is called, root mean square (rms) or effective current and is denoted by Irms
FORMULA OF I RMS
I RMS = IM /√2
AC VOLTAGE APPLIED TO AN INDUCTOR
v-[ Ldi /dt ]=0
DEFINE INDUCTIVE INDUCTANCE
The quantity w L is
analogous to the resistance and is called inductive reactance, denoted
by XL
XL= w L
The instantaneous power supplied to the inductor is
-im vm sin [2wt ] /2
AC VOLTAGE APPLIED TO A CAPACITOR
v=q/C
DEFINE CAPACITIVE REACTANCE
(1/wC) It is called capacitive reactance and
is denoted by Xc
Xc= 1/wC
AC VOLTAGE APPLIED TO A SERIES LCR CIRCUIT
L di/dt +IR +q/C=V
STUDY IMPENDENCE DIAGRAM
DEFINE RESONANCE
Resonance in AC circuits is analogous to mechanical resonance, where resonance is defined to be a forced oscillation—in this case, forced by the voltage source—at the natural frequency of the system.
RESONANT FREQUENCY
W0 = 1/√ LC
POWER IN AC CIRCUIT
P = I² Z cosφ