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The Switch in the Circuit Shown Below Has Been Opened t=0t = 0

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The switch in the circuit shown below has been opened for a long time before it is closed at t=0t = 0 . Find the current i(t)i ( t ) through the inductor for t0t \geq 0 . Assume R1=1kΩ,R2=1kΩ,R3=2R _ { 1 } = 1 k \Omega , R _ { 2 } = 1 k \Omega , R _ { 3 } = 2 kΩ,R4=2kΩ,Is=6 mA, Vs=6 V, L=50mH\mathrm { k } \Omega , \mathrm { R } _ { 4 } = 2 \mathrm { k } \Omega , \mathrm { I } _ { \mathrm { s } } = 6 \mathrm {~mA} , \mathrm {~V} _ { \mathrm { s } } = 6 \mathrm {~V} , \mathrm {~L} = 50 \mathrm { mH } .
 The 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 } = 1 k \Omega , R _ { 2 } = 1 k \Omega , R _ { 3 } = 2   \mathrm { k } \Omega , \mathrm { R } _ { 4 } = 2 \mathrm { k } \Omega , \mathrm { I } _ { \mathrm { s } } = 6 \mathrm {~mA} , \mathrm {~V} _ { \mathrm { s } } = 6 \mathrm {~V} , \mathrm {~L} = 50 \mathrm { mH } .


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