Part A Problem 31.60 What is the resonance angular frequency? A 100 resistor, a

Question

Part A Problem 31.60 What is the resonance angular frequency? A 100 resistor, a 0.100 F capacitor, and a 0.300 H inductor are connected in parallel to a voltage source with amplitude 240 V What is the maximum current in the inductor at resonance? rad/s Submit My Answers Give Up Part B Submit My Answers Give Up What is the maximum current through the source at the resonance frequency? Part E What is the maximum current in the branch containing the capacitor at resonance? Submit My Answers Give Up Submit My Answers Give Up Part F Part C Find the maximum energy stored in the inductor and in the capacitor at resonance. Enter your answer as two numbers s eparated with a comma. Find the maximum current in the resistor at resonance m.J

Explanation / Answer

(A) at resonance,

Xl = Xc

w0 L = 1 / w0 C

w0 = 1/sqrt(0.100 x 10^-6 x 0.300) = 5773.5 rad/s

(b) XL = Xc = 1732 ohm

1/Z = 1/100 + 1/1732j - 1/1732j

Z -= 100 ohm

I = 240 /100 = 2.4 A

(C) IR = 2.4 A

(d) IL = 0.14 A

(E) Ic = 0.14 A

(f) Uc = (0.100 x 10^-6)(240^2) / 2 = 2.88 x 10^-3 J = 2.88 mJ

UL = L I^2 /2 = 0.30 x0.14^2 /2 = 2.88 x 10^-3 J = 2.88 mJ

(C

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