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

question 7

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 $\mathrm { R } _ { 1 } = 3 \mathrm { k } \Omega , \mathrm { R } _ { 2 } = 5 \mathrm { k } \Omega , \mathrm { R } _ { 3 } = 2$ $\mathrm { k } \Omega , \mathrm { I } _ { \mathrm { s } } = 4 \mathrm {~mA} , \mathrm { C } = 0.3 \mu \mathrm { F }$ .

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Definitions:

Loves of the Gods

A popular theme in art and literature, often depicted in Renaissance and Baroque artworks, showcasing mythological stories involving romances between gods and mortals.

Juan Sánchez Cotán

A Spanish Baroque painter, renowned for his still life paintings characterized by their simplicity, realistic detail, and use of light and shadow.

Tenebrism

Painting in the “shadowy manner,” using violent contrasts of light and dark, as in the work of Caravaggio. The term derives from tenebroso.

Skiagraphia

Greek, “shadow painting.” The Greek term for shading, said to have been invented by Apollodoros, an Athenian painter of the 5th century BC.