The instantaneous value

101

00:28:57

✴✴The instantaneous value✴✴

The instantaneous value of a sine wave is taking the ordinate at a given time.
An alternating voltage has the following expression
a(t)=A0sen (wt +b) 


A0= Maximum Value
A=Value  effective
w:= Pulsation  (2pi f)
f= frequency
t=time
T= period
b= initial phase angle

example:
an AC voltage has the following instantaneous expression:
a(t)=12sen314t  V. 

to calculate the value of the voltage at 2.5 ms

 e(2.5ms) 12sen(314 rad/s 2.5 10-3s)= 12sen(0.785 rad) = 8.5 v  

In sexagesimal degrees

0,785 rad = 45°
 e(2,5ms) 12 sen(45°) = 8.5 v

the value of e at 30°
 e=12 sen 30° = 6 v

published 10 years ago

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