The Circuit Shown Below,
(A) Write a Node$a$

Question

The Circuit Shown Below,   
(A) Write a Node$a$

Examlex · Accepted Answer

The Answer is

\begin{array} { l } \frac { V _ { 1 } - V _ { s } } { R _ { 1 } } + \frac { V _ { 1 } - V _ { 2 } } { R _ { 3 } } + \frac { V _ { 1 } } { R _ { 2 } } = 0 \\frac { V _ { 2 } - V _ { 1 } } { R _ { 3 } } + \frac { V _ { 2 } } { R _ { 4 } } = 0 \\mathrm {~V} _ { 1 } = 10.56 \mathrm {~V} , \mathrm {~V} _ { 2 } = 8.4 \mathrm {~V} \\mathrm {~V} _ { \mathrm { th } } = \mathrm { V } _ { 2 } = 8.4 \mathrm {~V} \\mathrm { R } _ { \mathrm { a } } = \mathrm { R } _ { 1 } \| \mathrm { R } _ { 2 } = 1.2 \mathrm { k } \Omega \\mathrm { R } _ { \mathrm { b } } = \mathrm { R } _ { \mathrm { a } } + \mathrm { R } _ { 3 } = 3 \mathrm { k } \Omega \\mathrm { R } _ { \mathrm { th } } = \mathrm { R } _ { \mathrm { b } } \| \mathrm { R } _ { 4 } = 2.1 \mathrm { k } \Omega\end{array}

clear all;

\mathrm { R } 1 = 2000 ; \mathrm { R } 2 = 3000 ; \mathrm { R } 3 = 1800 ; \mathrm { R } 4 = 7000 ; \mathrm { Vs } = 20

;

R a = P ( [ R 1 , R 2 ] )

R b = R a + R 3

syms V1 V2

\begin{array}{l}{[\mathrm{V} 1, \mathrm{~V} 2]=s \circ 1 \mathrm{ve}((\mathrm{V} 1-\mathrm{Vs}) / \mathrm{R} 1+\mathrm{V} 1 / \mathrm{R} 2+(\mathrm{V} 1-\mathrm{V} 2) / \mathrm{R} 3,(\mathrm{~V} 2-\mathrm{V} 1) / \mathrm{R} 3+\mathrm{V} 2 / \mathrm{R} 4, \mathrm{~V} 1, \mathrm{~V} 2) ;} \\mathrm{V} 1=\mathrm{Vpa}(\mathrm{V} 1,7) \\mathrm{V} 2=\mathrm{vpa}(\mathrm{V} 2,7) \\mathrm{Vth}=\mathrm{V} 2\end{array}

Answers:

\begin{array} { l l } ext { Ra } = & \\mathrm { Rb } = & 1200 \ ext { Rth } = & \\mathrm { V } = & \10.56 & \\mathrm {~V} 2 = & \8.4 & \\mathrm { Vth } = & \8.4\end{array}

The Circuit Shown Below,
(A) Write a Node $a$