# 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 the frequency of the xxxx wave is xxx kHz (f x xxx xxx x 2500 Hz), xx can xxxxxxxxx xxx xxxxxxx frequency:

ω = xxxx x 2π * 2500 xx x 15707.96 xx

xxx xx can xxxxxxxxx the capacitive resistance using xxxxxxxx with C x xxxx μF = xxxxxxx xx

xx = xxxxxxx = 1/(15707.96 xx * xxxxxxx xx x 6366.2 Ω

Now xxxxx these xxx resistances are connected xx series, we can use xxx following xxxxxxx xxx total xxxxxxxxxxx

xx = xxxxxxx + Rc^2) (where x = xx xxx = xxxxx Ω)

Rt = √(10000^2 + xxxxxxxxx Ω

Rt = 11854.47 xx

xx xxxx total xxxxxxxx xxxxx xxxxxxxxxx xxx we can easily xxxxxxxxx xxx total current xxxxx xxxxx xxxx

I x U / xx

x x 10 V x 11854.47 xx

x x 0.84 xx