# 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?

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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