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A circuit consists of a 1.00 kHz generator and a capacitor. When the rms voltage of the generator is 0.550 V the rms current in the circuit is 0.460 mA.

(a) What is the reactance of the capacitor at 1.00 kHz?

k

(b) What is the capacitance of the capacitor?

µF

(c) If the rms voltage is maintained at 0.550 V, what is the rms current at 2.00 kHz?

mA

If the rms voltage is maintained at 0.550 V, what is the rms current at 10.0 kHz?

mA

1. to get the reactance first i derived c from eqn Irms= Vrms * wc

and then sub for Xc= 1/above ans which was 5.25)*2(3.140*1000hz

that should have given me the ans but the book says different

for the b capacitance, i used Xc= 1/wc

for c it should be irms= wCVIrms - right

thanks