- #1
Tyrone123
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Homework Statement
The mill (single phased) is now affected by a load from a resistor. We assume that the turbine can deliver an infinitely large current without affecting the frequency.
figure 1 illustrates the load:
http://puu.sh/19GGR
The voltage over the capacitor can can be expressed as
V0(t) = Re(vp * ei*ω*t)
where ω is the angular frequency, i is the complex number, and vp is a complex number (also called a phasor) and can be expressed as
vp = k * [itex]\frac{1}{1+iω*R*C}[/itex]
The values R and Ck er unknown, but can be assumed to be constant and real.
Make an expression for V0(t) where only the real part is described.
Rewrite the expression for V0(t) to the form V0(t) = A * cos(ωω*t + θω)
Where A is the amplitude
The Attempt at a Solution
As for the first part, my idea was to rewrite the exponential part ei*ω*t to cos(t*ω)+i*sin(t*ω) and then multiply it with vp as you would with two complex numbers, and then simply discard the imaginary part..
which gives me [itex]\frac{k*cos(t*w)}{1+w*R*C}[/itex]
But I am pretty sure I am way off.. and I could use some help!
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