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LCR circuit

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Find the particular solution for V(t) including the numerical values of all parameters.

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An analysis of a LCR circuit is in the solution. The particular solution for V(t) of the circuit is found with numerical values and all parameters.

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LCR Circuit - finding currents and voltage

In the circuit below, V is an alternating voltage of a constant amplitude 10 V but of variable frequency. The purpose of the circuit is to detect a frequency of 1600 Hz by operating the relay.
CT is a 2-to-22 nF trimming capacitor used to adjust the resonant frequency of the circuit. This is set to 10 nF.

Calculate the maximum operating current of the relay and the minimum voltage ratings of the capacitors.

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