Resonance In an R-L-c Circuit In an L-R-C series circuit, the resistance is 300

Question

Resonance In an R-L-c Circuit In an L-R-C series circuit, the resistance is 300 ohms, the inductance is 0.320 henrys, and the capacitance is 2.00=10^-2 microfarads Part What is the resonance angular frequency Omega 0 of the circuit, Express your answer in radians per second to three significant figures. The capacitor can withstand a peak voltage of .0 volts If the voltage source operates at the resonance frequency, what maximum voltage amplitude V max. can the source have if the maximum capacitor voltage is not exceeded, Express your answer in volts to three significant figures.

Explanation / Answer

First part:

w0 = 1/sqrt(LC) = 1/sqrt(0.32*2*10-8) = 156.25 Megarad/sec

Second part:

By voltage division

Vmax = 540 * 300 / Cw0 = 540 * 300/3.125 = 51.84kV ans

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