A series RLC circuit consists of a $75\mathrm{\Omega }$ resistor, a $5.0$ ff capacitor and $a75\mathrm{mH}$ inductor. They are connected across a generator of frequency $250\mathrm{Hz}$ with a rms voltage of $12\mathrm{V}$. Determine the impedance of the circuit.

A. $127.32\mathrm{\Omega }$
B. $117.8\mathrm{\Omega }$
C. $84.51\mathrm{\Omega }$
D. $74.39\mathrm{\Omega }$
E. $75.6\mathrm{\Omega }$  

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Correct Answer: E