The Switch in the Circuit Shown Below Has Been Closed $= 0$

question 11

Essay

The switch in the circuit shown below has been closed for a long time before it is opened at t $= 0$ . Find the voltage $v ( t )$ across the capacitor for $t \geq 0$ . Assume $R _ { 1 } = 1 \mathrm { k } \Omega , R _ { 2 } = 2 \mathrm { k } \Omega , R _ { 3 } = 2$ $\mathrm { k } \Omega , \mathrm { R } _ { 4 } = 3 \mathrm { k } \Omega , \mathrm { I } _ { \mathrm { s } } = 3 \mathrm {~mA} , \mathrm { C } = 0.2 \mu \mathrm { F }$ .