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(a) What is the frequency of oscillation of the LC circuit? 1 Hz (b) Determine t

ID: 1751927 • Letter: #

Question

(a) What is the frequency of oscillation of theLC circuit?
1 Hz
(b) Determine the maximum charge that appears on the capacitor.
2 µC
(c) Determine the maximum current in the inductor.
3 mA
(d) Determine the total energy the circuit possesses at t= 3.00 s.
4 µJ The switch in Figure P32.52 is connected to point a for along time (C = 1.40 mu F).Suppose that the switch is thrown to point b. Figure P32.52 (a) What is the frequency of oscillation of the LC circuit? 1 Hz (b) Determine the maximum charge that appears on the capacitor. 2 mu C (c) Determine the maximum current in the inductor. 3 mA (d) Determine the total energy the circuit possesses at t= 3.00 s. 4 mu J

Explanation / Answer

a) the frequency of oscillation is f =1/2*LC                                                 = 1/2*{(0.01H)*(1.40*10-6F)}                                                  = --------- b) when the switch is moved to position b at t=0 , as thecpacitor as open ckt, voltage Vmax = 12V maximum charge on the capacitor Qmax =CVmax                                                       Qmax = (1.40*10-6F)12V c) maximum current through inductor Imax =Qmax                                                              = 2fQmax d)    the total energy is independent of time so, U =1/2*LImax2                                                                       = 1/2*(0.10H)*Imax2                                                                        = ------------                                                                        = ------------