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An Electric Circuit Has an Inductance L=0.4HL=0.4 \mathrm{H} , a Resistance R=250ΩR=250 \Omega

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An electric circuit has an inductance L=0.4HL=0.4 \mathrm{H} , a resistance R=250ΩR=250 \Omega , and a capacitance CC =5×104=5 \times 10^{-4} F. Find the equation for the current ii . (Hint: d2idt2+RdiLdt+1CLi=0\frac{d^{2} i}{d t^{2}}+\frac{R d i}{L d t}+\frac{1}{C L} i=0 )

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