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Switch in the Circuit Shown Below Has Been Opened for a Long

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switch in the circuit shown below has been opened for a long time before it is closed at t =0= 0 . Find the current i(t)i ( t ) through the inductor for t0t \geq 0 . Assume R1=100Ω,R2=200Ω,L=100R _ { 1 } = 100 \Omega , R _ { 2 } = 200 \Omega , L = 100 mH,C=0.02μF,Is=5 mA,i(0)=I0=1 mA,v(0)=V0=0.5 V\mathrm { mH } , \mathrm { C } = 0.02 \mu \mathrm { F } , \mathrm { I } _ { \mathrm { s } } = 5 \mathrm {~mA} , \mathrm { i } ( 0 ) = \mathrm { I } _ { 0 } = 1 \mathrm {~mA} , \mathrm { v } ( 0 ) = \mathrm { V } _ { 0 } = 0.5 \mathrm {~V}  switch in the circuit shown below has been opened for a long time before it is closed at t  = 0 . Find the current  i ( t )  through the inductor for  t \geq 0 . Assume  R _ { 1 } = 100 \Omega , R _ { 2 } = 200 \Omega , L = 100   \mathrm { mH } , \mathrm { C } = 0.02 \mu \mathrm { F } , \mathrm { I } _ { \mathrm { s } } = 5 \mathrm {~mA} , \mathrm { i } ( 0 ) = \mathrm { I } _ { 0 } = 1 \mathrm {~mA} , \mathrm { v } ( 0 ) = \mathrm { V } _ { 0 } = 0.5 \mathrm {~V}

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