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Impedance (Z) = Resistance (R) + Reactance (X)
Resistance is real. Reactance is imaginary.

Z = R + jX

An ideal capacitor has only reactance.

Z = 0 + jX

Reactance of a capacitor is given by X = 1/(jwC).
Where:
Angular frequency (w) = 2*pi*frequency
Capacitance (C) = 12 microfarads (uF) in our case

Z = 1/( j*2*pi*100 Hz*10^-6 uF ) = 13.26/j uF = j13.26/( j*j ) uF = -j13.26 uF

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15y ago

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