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In an L-R-C series circuit the resistance is 480 ohms, the inductance is 0.320 h

ID: 1606637 • Letter: I

Question

In an L-R-C series circuit the resistance is 480 ohms, the inductance is 0.320 henrys, and the capacitance is 1.80 times 10^-2 microfarads. What is the resonance angular frequency omega_0 of the circuit? Express your answer in radians per second to three significant figures. omega_0 = 1.32 times 10^4 rad/s The capacitor can withstand a peak voltage of 520 volts. If the voltage source operates at the resonance frequency, what maximum voltage amplitude V_max can the source have i the maximum capacitor voltage is not exceeded? Express your answer in volts to three significant figures. V_max = 63 V

Explanation / Answer

B)

current throught the capacitor

i = Vmax /R

i = Vmax / 480

since voltage across capacitor shouldnt exceed 520

so

520 = i ( 1/WC)

so

Vmax = 59304.96 Volts

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