A resistor of 100 \( \Omega \), an inductor of \( \frac{25}{\pi} \) mH, and a capacitor of 0.1 \( \mu \)F are connected in series to an ac source. The impedance of the circuit is minimum for a frequency of:
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In an RLC circuit, the impedance is minimum when the inductive reactance equals the capacitive reactance.
The impedance of an RLC circuit is minimum when the frequency is such that the inductive reactance equals the capacitive reactance. From the given values, we calculate the frequency for which the impedance is minimized to be 10 kHz.
Thus, the correct answer is option (2).