p33_085

# p33_085 - t = 0, then the time-dependent charge on the...

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85. (a) At any time, the total energy U in the circuit is the sum of the energy U E in the capacitor and the energy U B in the inductor. When U E =0 . 500 U B (at time t ), then U B =2 . 00 U E and U = U E + U B =3 . 00 U E .N ow , U E is given by q 2 / 2 C ,whe re q is the charge on the capacitor at time t . The total energy U is given by Q 2 / 2 C ,where Q is the maximum charge on the capacitor. Thus, Q 2 / 2 C =3 . 00 q 2 / 2 C or q = Q/ 3 . 00 = 0 . 577
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Unformatted text preview: t = 0, then the time-dependent charge on the capacitor is given by q = Q cos ωt . This implies that the condition q = 0 . 577 Q is satisFed when cos ωt = 0 . 557, or ωt = 0 . 955 rad. Since ω = 2 π/T (where T is the period of oscillation), t = 0 . 955 T/ 2 π = 0 . 152 T ....
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## This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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