An L-C circuit has an inductance of 0.350 HH and a capacitance of 0.290 nF . During the current oscillations, the maximum current in the inductor is 2.00 A .
Part A
What is the maximum energy EmaxEmaxE_max stored in the capacitor at any time during the current oscillations?
Express your answer in joules.
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Part B
How many times per second does the capacitor contain the amount of energy found in part A?
Express your answer in times per second.
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A)
Energy, E = 0.5 LI^2
E = 0.5 x 0.35 x 2^2 = 0.7 J
B)
Angular frequency, w = 1/sqrt(LC) = 1/sqrt(0.35 x 0.29 x 10^-9) = 9.93 x 10^4 rad/sec
Time, T = 2 pi/w = 6.33 x 10^-5 sec
Since, 1 time period capacitor contains maximum energy 2 times.
So, in one second capacitor contains maximum energy
= 2/T = 3.16 x 10^4 times/sec
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An L-C circuit has an inductance of 0.350 HH and a capacitance of 0.290 nF ....
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