66. An inductor of L henrys and a capacitor of C farads are in series with a generator of E volts. At t=0 the charge on the capacitor and eurrent in the eircuit are zero. Find the charge on the capacitor at any time t>0 if: (a) E= E, a constant; (b) E = Ee at, a>0.

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66. An inductor of L henrys and a capacitor of C farads are in series with a generator of E volts. At
t=0 the charge on the capacitor and eurrent in the eireuit are zero. Find the charge on the capacitor
at any time t> 0 if: (a) E= Eg.a constant; (b)E = Ege , a> 0.
Ans. (a) Q = CE(1- cos (t/VLC ))
aEVCIL
+1/LC
Eo
(b) Q =
Llat + 1/LC)
(e-at -
cos (t/VLC)) +
sin (t/VLC)
Transcribed Image Text:66. An inductor of L henrys and a capacitor of C farads are in series with a generator of E volts. At t=0 the charge on the capacitor and eurrent in the eireuit are zero. Find the charge on the capacitor at any time t> 0 if: (a) E= Eg.a constant; (b)E = Ege , a> 0. Ans. (a) Q = CE(1- cos (t/VLC )) aEVCIL +1/LC Eo (b) Q = Llat + 1/LC) (e-at - cos (t/VLC)) + sin (t/VLC)
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