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A series circuit consists of an AC\mathrm{AC} generator with an runs voltage of 120 V120 \mathrm{~V} at a frequency of 60.0 Hz60.0 \mathrm{~Hz} and a magnetic buzzer with a resistance of 100Ω100 \Omega and an inductance of 100mH100 \mathrm{mH}.
(a) Find the circuit's power factor.
(b) Suppose a higher power factor is desired. Can a power factor of 1.001.00 be achieved by changing the inductance or any other circuit parameters?
(c) Show that a power factor of 1.001.00 can be attained by inserting a capacitor into the original circuit, and finding the value of its capacitance.

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Series RLCRLC circuit contains resistance R=100ΩR=100\,\Omega, inductance L=100mHL=100\,\text{mH} and source ΔVrms=120V\Delta V_{rms}=120\,\text{V}, f=60Hzf=60\,\text{Hz}.

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