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Question Number 156432 by joki last updated on 11/Oct/21

in a second order differenti equation, a 4 henry inductor,an 8 ohm resistor and o.2 farad capacito are connected in series with the temperature of the battery with ggl. E=80 sin 3t. solid=0 the charge in the capacitor and the current in the circuit is zero. a.charge b.current at t>0

$$\mathrm{in}\:\mathrm{a}\:\mathrm{second}\:\mathrm{order}\:\mathrm{differenti}\:\mathrm{equation},\:\mathrm{a}\:\mathrm{4}\:\mathrm{henry} \\ $$$$\mathrm{inductor},\mathrm{an}\:\mathrm{8}\:\mathrm{ohm}\:\mathrm{resistor}\:\mathrm{and}\:\mathrm{o}.\mathrm{2}\:\mathrm{farad}\:\mathrm{capacito} \\ $$$$\mathrm{are}\:\mathrm{connected}\:\mathrm{in}\:\mathrm{series}\:\mathrm{with}\:\mathrm{the}\:\mathrm{temperature}\:\mathrm{of}\: \\ $$$$\mathrm{the}\:\mathrm{battery}\:\mathrm{with}\:\mathrm{ggl}.\:\mathrm{E}=\mathrm{80}\:\mathrm{sin}\:\mathrm{3t}.\:\mathrm{solid}=\mathrm{0}\:\mathrm{the} \\ $$$$\mathrm{charge}\:\mathrm{in}\:\mathrm{the}\:\mathrm{capacitor}\:\mathrm{and}\:\mathrm{the}\:\mathrm{current}\:\mathrm{in}\:\mathrm{the}\: \\ $$$$\mathrm{circuit}\:\mathrm{is}\:\mathrm{zero}. \\ $$$$\mathrm{a}.\mathrm{charge} \\ $$$$\mathrm{b}.\mathrm{current}\:\mathrm{at}\:\mathrm{t}>\mathrm{0} \\ $$

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