MATLAB: Electrical Systems

My Solutions $>$

Figure below shows a circuit made up of two RC circuits. Find the dvnamic eauations of the suctem.

Script $o.$

Gave

C

Reset

MATLAB Documentation

$\%$ Variables KVL$1$ KVL$2$ eqn$1$ eqn$2$ e$0$

$\%$ for symbolic declaration R$1$ R$2$ C$1$ C$2$ e$$ e$1($t$)$ e$2($t$)$ De$1($t$)$ De$2($t$)$

format compact

De$1=$diff$(e1)$

De$2=$diff$(e2)$

$\%$ Write the $KCL$ equation for node voltage, e$1.$

$\%$ Use Ohm's law and the current through a capacitor to rewrite the KCL equation for node voltage, e$1,$ in terms of e$0,$ e$1,$ e$2,$ R$1,$ R$2,$ and C$1.$

KVL$1=$

$\%$ Write the KCL equation for the node voltage, e$2.$

$\%$ Use Ohm's law and the current through a capacitor to rewrite the KCL equation for node voltage, e$2,$ in termis of e$1,$ e$2,$ R$2,$ and C$2.$

KVL$2=$

$\%$ Solve equation for e$.$

eqn$1=$

$\%$ Solve equation for e$1.$

egn $2=$

$\%$ Use algebra to substitute one equation into the other and solve for the dynamic equation.

eqn$1=$ subs $($eqn$1,$ Ihs $($eqn$2),$ rhs $($eqn$2))$

ee eqn$1)$

& Simplify equation to solve for the dynamic equation.

tTi Launch