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

question 12

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 $\mathrm { v } ( \mathrm { t } )$ across the capacitor for $\mathrm { t } \geq 0$ . Assume $\mathrm { R } _ { 1 } = 8 \mathrm { k } \Omega , \mathrm { R } _ { 2 } = 24 \mathrm { k } \Omega , \mathrm { R } _ { 3 } = 3$ $\mathrm { k } \Omega , \mathrm { I } _ { \mathrm { s } } = 0.5 \mathrm {~mA} , \mathrm {~V} _ { \mathrm { s } } = 3.2 \mathrm {~V} , \mathrm { C } = 0.05 \mu \mathrm { F }$ .

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Definitions:

Depolarization Phase

Change in the electric charge difference across the plasma membrane that causes the difference to be smaller or closer to 0 mV; phase of the action potential in which the membrane potential moves toward zero, or becomes positive.

Action Potential

A rapid and temporary electrical charge that passes along the membrane of a nerve or muscle cell, initiating activity.

Repolarization Phase

The stage of a heartbeat where heart muscle cells return to their resting electrical state, following depolarization.

Depolarization Phase

The stage in the action potential of a cell in which the cell membrane's charge becomes more positive compared to its resting state.