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(a)If the battery is inserted into thecircuitat time t=0, then at time t, the current is provided by i=/R(1et/L), where L=L/R. The moment that i=0.800dR must be found is our objective. This suggests that 0.800=1 et/L and 0.200 et/L.We get (t/L)=ln(0.200)=1.609 by taking the naturallogarithmof both sides. Thus,.What three purposes does a resistor serve?There are various uses for resistors. A few examples includerestrictingthe flow of electricity, dividing the voltage, producing heat, matching and loading circuits,controllinggain, and establishing time constants.To know more aboutResistorvisit:brainly.com/question/24297401#SPJ4...