Mastering Physics: Homework 09 Inductance Google Cheome https://session masterin

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Mastering Physics: Homework 09 Inductance Google Cheome https://session masteringphysicscom/myct/itemView?assignmentProblemlD 72840615 Physics 2160, university Physics li, spring 2017 Signed in as quanyoujang Problem 30 54 Resources previous l 10 of 12 l next Problem 30.54 Part A A6.50-nF capacitor is charged to 23 o V then At an instant when the charge on the capacitor is 0.0500 HC what is the current in disconnected from the battery in the circuit and the inductor? connected in series with a coil that has L 0,0630 H and negligible resistance. After the circuit has Express your answer with the appropriate units. been completed, there are current oscilations i- 0.00764 A Submit MY Answers Give up Incorrect. Try Again: 2 attempts remaining Part B How much energy is stored in the capacitor? Express your answer with the appropriate units. Uc 0.192, J My Answers Give Up Correct Part C How much energy is stored in the inductor? Express your answer with the appropriate units. vu 1,84 10 6 J

Explanation / Answer

from conservation of energy

Uic = Ul + Uc

1/2 C V^2 = 1/2 L I^2 + 1/2 Q^2/C

L I^2 = C V^2 - Q^2/C

0.063 I^2 = 6.5 x 10^-9 x 23^2 - (0.05 x 10^-6)^2/(6.5 x 10^-9) = 3.05 x 10^-6

I^2 = 4.8 x 10^-5 => I = 0.00693 A

Hence, I = 0.0069 A

B)Correct

C)Ui = 1/2 L I^2

Ui = 1/2 x 0.063 x 0.0069^2 = 1.5 x 10^-6 J

Hence, Ui = 1.5 x 10^-6 J

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