A $63\mathrm{.}0-$ resistor is connected in series with a $21\mathrm{.}0-$F capacitor and a source whose maximum voltage is $117$ V$,$ operating at $60\mathrm{.}0$ Hz$.$

$($a$)$ Find the capacitive reactance of the circuit.

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$($b$)$ Find the impedance of the circuit.

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$($c$)$ Find the maximum current in the circuit.

A

$($d$)$ Does the voltage lead or lag the current?

The voltage leads the current.The voltage lags behind the current.$$

$($e$)$ How will adding an inductor in series with the existing resistor and capacitor affect the current? Explain.