Physics

Physics

Problem

A laboratory wishes to design a series RLC circuit that is exactly resonant at a frequency of 10 kHz10\,\text{kHz}. The available components are a resistor of 20 Ω20\,\Omega and an inductor of 2.5 mH2.5\,\text{mH}. The supply provides 12 V12\,\text{V} rms at 10 kHz10\,\text{kHz}. a. (i) Calculate the value of the capacitor that must be connected in series to obtain resonance. b. (ii) When the circuit is resonant, determine the rms current drawn from the source. c. (iii) At resonance, find the rms voltage across the inductor.

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