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Hi all, i've got a question - What formula would I use to find the capacitance required in series with a resistance of 100 ohms so that the phase difference of the circuit is 60 degrees when the frequency is 40 Hz.
If it really is the voltage across the capacitor as output and because 60 degrees
is one of those 'special' phase angles the formula reduces to:
K=F*R*C
where
F is the frequency in Hertz
R is the resistance in ohms
C is the capacitance in Farads
and K is a constant:
K=sqrt(3)/(2*pi) which is approx equal to:0.2756644477
so to solve for R we would get:
R=K/(F*C)
or to solve for C we would get:
C=K/(F*R)
For example:
with C=1000uf, R would come out to about 6.892 ohms.
If C=100uf then R would come out to about 68.92 ohms, and if
C=10uf then R would come out to about 689.2 ohms.
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