A laboratory technician wishes to design a series resonant circuit that operates at

PHYSICS · Multi-part · CBSE · Physics · Alternating Current · Alternating Current

Problem

A laboratory technician wishes to design a series resonant circuit that operates at 1.0 kHz1.0\,\text{kHz}. He has a 10 Ω10\,\Omega resistor and a 2.0 μF2.0\,\mu\text{F} capacitor available. (i) Calculate the inductance that must be connected in series with the given components to obtain resonance at 1.0 kHz1.0\,\text{kHz}. (ii) If the same inductor is retained but the capacitor is replaced by one of capacitance 1.0 μF1.0\,\mu\text{F}, determine the new resonant frequency of the circuit.

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