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In the Circuit Shown Below, (A) Write a Mesh Equation Is\mathrm { I } _ { \mathrm { s } }

question 10

Essay

In the circuit shown below, (a) Write a mesh equation around mesh 1 by summing the voltage drops around mesh 1 .
(b) Write a mesh equation around supermesh formed by meshes 2 and 3 by summing the voltage drops around supermesh.
(c) Write a constraint equation expressing Is\mathrm { I } _ { \mathrm { s } } by I2\mathrm { I } _ { 2 } and I3\mathrm { I } _ { 3 } .
(d) Find I1,I2\mathrm { I } _ { 1 } , \mathrm { I } _ { 2 } , and I3\mathrm { I } _ { 3 } by solving the three equations.
(e) Find the voltages V1,V2V _ { 1 } , V _ { 2 } .  In the circuit shown below, (a) Write a mesh equation around mesh 1 by summing the voltage drops around mesh 1 . (b) Write a mesh equation around supermesh formed by meshes 2 and 3 by summing the voltage drops around supermesh. (c) Write a constraint equation expressing  \mathrm { I } _ { \mathrm { s } }  by  \mathrm { I } _ { 2 }  and  \mathrm { I } _ { 3 } . (d) Find  \mathrm { I } _ { 1 } , \mathrm { I } _ { 2 } , and  \mathrm { I } _ { 3 }  by solving the three equations. (e) Find the voltages  V _ { 1 } , V _ { 2 } .


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