Resonance in an R-L-C Circuit What is the resonance angular frequency wo of the

Question

Resonance in an R-L-C Circuit What is the resonance angular frequency wo of the circuit? Express your answer in radians per second to three significant figures. Hints In an L-R-C series circuit, the resistance is 400 ohms the inductance is 0.400 henrys, and the capacitance is 100x 10-2 microfarads. rad/s Submit My Answers Give Up Incorrect, Try Again; 5 attempts remaining Part B The capacitor can withstand a peak voltage of 510 volts. If the voltage source operates at the resonance frequency, what maximum voltage amplitude Vmax can the source have if the maximum capacitor voltage is not exceeded? Express your answer in volts to three significant figures. Hints

Explanation / Answer

(A) at resonance,

XL = Xc

w L = 1 / (wC)

w = 1 / sqrt(0.40 x 1 x 10^-2) = 15.8 rad/s

(B) Xc = 1 / (15.8 x 1 x 10^-2 ) = 6.32ohm

I = 510 / 6.32 =80.6 A

V_source = IR = 32255 Volt

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