A capacitor with capacitance C is connected in series with an AC source that provides a sinusoidal voltage of $,$ where V is the maximum voltage, is the angular frequency, and t is the time. If a second identical capacitor is wired in series with the first capacitor, what happens to the total capacitive reactance, XC$,$ of the circuit?$$

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ANSWER

XC decreases by a factor of $4.$

XC increases by a factor of $2.$

XC increases by a factor of $4.$

XC decreases by a factor of $2.$