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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 voltage v(t)\mathrm { v } ( \mathrm { t } ) across the capacitor for t0\mathrm { t } \geq 0 . Assume R1=8kΩ,R2=4kΩ,R3=8\mathrm { R } _ { 1 } = 8 \mathrm { k } \Omega , \mathrm { R } _ { 2 } = 4 \mathrm { k } \Omega , \mathrm { R } _ { 3 } = 8 kΩ,R4=12kΩ,R5=6kΩ,Is=2.4 mA, Vs=13.5 V,C=0.05μF\mathrm { k } \Omega , \mathrm { R } _ { 4 } = 12 \mathrm { k } \Omega , \mathrm { R } _ { 5 } = 6 \mathrm { k } \Omega , \mathrm { I } _ { \mathrm { s } } = 2.4 \mathrm {~mA} , \mathrm {~V} _ { \mathrm { s } } = 13.5 \mathrm {~V} , \mathrm { C } = 0.05 \mu \mathrm { F } .
 switch in the circuit shown below 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 } = 8 \mathrm { k } \Omega , \mathrm { R } _ { 2 } = 4 \mathrm { k } \Omega , \mathrm { R } _ { 3 } = 8   \mathrm { k } \Omega , \mathrm { R } _ { 4 } = 12 \mathrm { k } \Omega , \mathrm { R } _ { 5 } = 6 \mathrm { k } \Omega , \mathrm { I } _ { \mathrm { s } } = 2.4 \mathrm {~mA} , \mathrm {~V} _ { \mathrm { s } } = 13.5 \mathrm {~V} , \mathrm { C } = 0.05 \mu \mathrm { F } .

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Definitions:

Project Completion Date

The specifically scheduled date by which all work on a project is expected to be completed.

Crashing

A project management technique that involves adding additional resources to critical tasks to shorten the project duration.

Expediting

The process of speeding up tasks or processes to ensure that project timelines are met or to address delays.

Work Breakdown Structure

A hierarchical decomposition of a project into smaller components or tasks, making it easier to manage and execute.

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