the circuit shown below, find the currents I₁,I₂, and I₃. Also, find the powers on R₁,R₂, R₃,and V_s and state whether power is absorbed or released by each element.

Name: the circuit shown below, find the currents I 1 ,I 2 , and I 3 . Also, find the powers on R 1 ,R 2 , R 3 ,and V s and state whether power is absorbed or released by each element.
Brand: Quizplus
Rating: 4.7 (41 reviews)

Question

Quizplus · Accepted Answer

The Answer is Application of Ohm's law yields

\begin{array} { l } I _ { 1 } = \frac { V _ { s } } { R _ { 1 } } = \frac { 5 \mathrm {~V} } { 1 \mathrm { k } \Omega } = 5 \mathrm {~mA} \I _ { 2 } = \frac { V _ { s } } { R _ { 2 } } = \frac { 5 \mathrm {~V} } { 2 \mathrm { k } \Omega } = 2.5 \mathrm {~mA} \I _ { 3 } = \frac { V _ { s } } { R _ { 3 } } = \frac { 5 \mathrm {~V} } { 5 \mathrm { k } \Omega } = 1 \mathrm {~mA} \\mathrm { p } _ { 1 } = \mathrm { V } _ { \mathrm { s } } imes \mathrm { I } _ { 1 } = 5 \mathrm {~V} imes 5 \mathrm {~mA} = 25 \mathrm {~mW} ( ext { absorbed) } \\mathrm { p } _ { 2 } = \mathrm { V } _ { \mathrm { s } } imes \mathrm { I } _ { 2 } = 5 \mathrm {~V} imes 2.5 \mathrm {~mA} = 12.5 \mathrm {~mW} ext { (absorbed) } \\mathrm { p } _ { 3 } = \mathrm { V } _ { \mathrm { s } } imes \mathrm { I } _ { 3 } = 5 \mathrm {~V} imes 1 \mathrm {~mA} = 5 \mathrm {~mW} ( ext { absorbed) } \\mathrm { p } _ { \mathrm { Vs } } = \mathrm { V } _ { \mathrm { s } } imes \left( - \mathrm { I } _ { 1 } - \mathrm { I } _ { 2 } - \mathrm { I } _ { 3 } ight) = - 5 \mathrm {~V} imes 8.5 \mathrm {~mA} = - 42.5 \mathrm {~mW} ext { (released) } \\mathrm { p } _ { 1 } + \mathrm { p } _ { 2 } + \mathrm { p } _ { 3 } + \mathrm { p } \mathrm { Vs } = 0\end{array}

The Circuit Shown Below, Find the Currents I1,I2, and I3

The Circuit Shown Below, Find the Currents I₁,I₂, and I₃