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The power factor will remain unchanged.
As regard to the cos fi I cannot answer immediately, but regarding to the speed of it, it would be clearly increased. This is the typycal methos to vary speed in motors.
vt=vmxsin(wt+30)
vt is voltage value vm is peak value of voltage T is period for one cycle in seconds w is angular frequency and30 is the initial value in radians
so,
w=2xpix50=100pi cos t =0.8/100*cos(100 *pi) =0.00888 this follows that t=1
R=V/I=53.3
Pmax=sin to the power of2 of omega time =sin2(100*t)=0.017 and for the second thread it is0.021
Pt=It*R this follows It=Pt/R=0.000394
and in the same flow of equations V=1.0549
and so after these calculation we conclude that
these time discrerte functions after equalized are the same THUS
Vm*cos(100*pi*t+30)= Vm*cos(120*pi*t+30)
but here comes the benefit of the value of the current which gives values of current voltages
This concluded that
cos fi =0.25
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