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

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

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