session masteringphysics.com/myct/itemView?assignmentProblemiD 87507899 11 Exerc
ID: 1781300 • Letter: S
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session masteringphysics.com/myct/itemView?assignmentProblemiD 87507899 11 Exercise 30.32 Exercise 30.32 Part A A 16.0-uF capacitor is charged by a 145.0-V power supply, then disconnected from the power and connected in series with a 0.280-mH inductor. Calculate the oscillation frequency of the out. Express your answer with the appropriate units. f= 2.38 kHz Submit MyAnswmE Give Up Correct Part B 0 ms (the moment of connection with the inductor). Calculate the energy stored in the capacitor at time t Express your answer with the appropriate units. U 0.168 J Submit My Answers Give Up Correct Part C energy stored in the inductor at t-1.30 ms Calculate the Express your answer with the appropriate units.Explanation / Answer
C)
maximum current is given as
Io = sqrt(2U/L) = sqrt(2 x 0.168/0.28 x 10-3) = 34.6 A
w = angular frequency = 2pif = 2 x 3.14 x 2380 = 14946.4 rad/s
In LC circuit , current at any time is given as
at t = 1.30 ms , current is given as
I = Io Sinwt = (34.6) Sin(14946.4 x 1.30 x 0.001) = 19 A
energy in the inductor is given as
UL = (0.5) L I2 = (0.5) (0.28 x 10-3) (19)2 = 0.0505 J
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