In: Physics
Write an expression for the instantaneous voltage ?(?) delivered by an ac generator supplying 120 V rms at 70 Hz. Assume the voltage is 0 at time ?=0, and leave the factors in exact form; do not round their values. Write the argument of the sinusoidal function to have units of radians, but omit the units.
solution : As we know that
and
=
and
where
is instantaneous voltage ,
is maximum voltage ,
is angular frequency ,
is time and
is initial phase or argument,
is root mean square of voltage ,
is frequency of a.c. generator.
Given
;
; at
;
hence,
= 0;
(putting value of
and
= 22/7)
hence