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Question
Submitted by evdeath1 on Tue, 2012-02-28 02:56
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A 10 volt, 2.5 kHz sine wave is applied to a series combination of a .01 micro farad capacitor and...

A 10 volt, 2.5 kHz sine wave is applied to a series combination of a .01 micro farad capacitor and a 10k ohm resistor. What is the total current?

Answer
Submitted by Coloratus on Tue, 2012-02-28 05:01
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Since xx know that xxx frequency xx xxx xxxx wave xx xxx xxx (f x xxx xxx = xxxx Hz), xx can xxxxxxxxx the xxxxxxx frequency:
xx x 2πf x 2π * xxxx Hz x 15707.96 Hz
Now we can xxxxxxxxx xxx xxxxxxxxxx xxxxxxxxxx using formula, with x x xxxx μF = 10^(-7) F:
xx x 1/(ωC) = xxxxxxxxxxx Hz x xxxxxxx xx x xxxxxx xx
xxx since xxxxx two xxxxxxxxxxx xxx connected in series, we xxx use xxx following formula for xxxxx resistance:
Rt = √(R^2 x Rc^2) xxxxxx R = 10 xxx x 10000 Ω)
xx x √(10000^2 x 6366.2^2) xx
xx x 11854.47 xx
xx xxxx xxxxx xxxxxxxx xxxxx resistance xxx we can xxxxxx xxxxxxxxx the total current using Ohm's xxxx
I = U x Rt
x x xx x x xxxxxxxx Ω
x = xxxx xx


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