Switch 1 in the Circuit Shown Below Has Been Closed $\mathrm { v } ( \mathrm { t } )$

question 2

Essay

switch 1 in the circuit shown below has been closed for a long time before it is opened at t = 0 and the switch 2 has been opened for a long time before it is closed at t = 0. Find the voltage $\mathrm { v } ( \mathrm { t } )$ across the capacitor for $\mathrm { t } \geq 0$ . Assume $\mathrm { R } _ { 1 } = 6 \mathrm { k } \Omega , \mathrm { R } _ { 2 } = 3 \mathrm { k } \Omega , \mathrm { R } _ { 3 } = 1 \mathrm { k } \Omega , \mathrm { R } _ { 4 } = 2 \mathrm { k } \Omega$ , $\mathrm { R } _ { 5 } = 1 \mathrm { k } \Omega , \mathrm { I } _ { \mathrm { s } } = 1 \mathrm {~mA} , \mathrm {~V} _ { \mathrm { s } } = 6 \mathrm {~V} , \mathrm { C } = 0.4 \mu \mathrm { F }$ .

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