Determine the frequency of oscillation...
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Determine the frequency of oscillation...

[From: ] [author: ] [Date: 11-08-15] [Hit: ]
5*135e-3*1.254e-4 = 8.......
A 495 pF capacitor is charged to 185 V and then quickly connected to a 135 mH inductor.
Determine the frequency of oscillation. Determine the peak value of the current. Determine the maximum energy stored in the magnetic field of the inductor.

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f =(1/2pi*LC) = 1.24e10 Hz = 12.4 GHz
Ldi/dt = V0 - Q/C = V0 - (1/C)*integral i*dt
L*d2^i/dt2 + i/C = 0 with i.c. of L*di/dt = V0 at t = 0+

Sol'n is i(t) = V0*√(C/L)sin(t/√LC) and
peak i = V0*√(C/L) = 1.12e-2A

max energy W stored in L = max energy stored in C since there is no loss mechanism, so
max W stored in L = (1/2) C V^2 = .5*495e-12*3.423e4 = 8.47e-6J

Could also get directly from 1/2 L i^2 = .5*135e-3*1.254e-4 = 8.47e-6J
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keywords: frequency,oscillation,Determine,the,of,Determine the frequency of oscillation...
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