Script 1 % Variables KVL1 KVL2 eqn1 eqn2 e 2% for symbolic declaration R1 R2 C1 C2 e el(t) e2(t) Del(t) Dez(t) 3 format compact 4 5 Del diff(el) 6 De2 = diff(e2) 7 % Write the KCL equation for node voltage, el. 8 % Use Ohm's law and the current through a capacitor to rewrite the KCL equation for node voltage, el, in terms of e0, e1, e2, R1, R2, and C1. 9 KVL1 = 10 % Write the KCL equation for the node voltage, e2. 11 % Use Ohm's law and the current through a capacitor to rewrite the KCL equation for node voltage, e2, in terms of e1, e2, R2, and C2. 12 KVL2 = 13 % Solve equation for e0. 14 eqn1 = 15 % Solve equation for el. 16 eqn2 = 17 % Use algebra to substitute one equation into the other and solve for the dynamic equation. 18 eqn1 subs(eqn1,1hs (eqn2), rhs (eqn2)) 19 e rhs (eqn1) = 20 % Simplify equation to solve for the dynamic equation. 21e0= 22 % Show your equation e as human readable text 23 System Modeling (Electrical Systems: RC Circuits) Figure below shows a circuit made up of two RC circuits. Find the dynamic equations of the system. eo R₁ e₁ iRI R₂ e2 iR2 C₂ icz ici Use variable e0 for your answer.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Script
1 % Variables KVL1 KVL2 eqn1 eqn2 e
2% for symbolic declaration R1 R2 C1 C2 e el(t) e2(t) Del(t) Dez(t)
3 format compact
4
5 Del diff(el)
6 De2 = diff(e2)
7 % Write the KCL equation for node voltage, el.
8 % Use Ohm's law and the current through a capacitor to rewrite the KCL equation for node voltage, el, in terms of e0, e1, e2, R1, R2, and C1.
9 KVL1 =
10 % Write the KCL equation for the node voltage, e2.
11 % Use Ohm's law and the current through a capacitor to rewrite the KCL equation for node voltage, e2, in terms of e1, e2, R2, and C2.
12 KVL2 =
13 % Solve equation for e0.
14 eqn1 =
15 % Solve equation for el.
16 eqn2 =
17 % Use algebra to substitute one equation into the other and solve for the dynamic equation.
18 eqn1 subs(eqn1,1hs (eqn2), rhs (eqn2))
19 e rhs (eqn1)
=
20 % Simplify equation to solve for the dynamic equation.
21e0=
22 % Show your equation e as human readable text
23
Transcribed Image Text:Script 1 % Variables KVL1 KVL2 eqn1 eqn2 e 2% for symbolic declaration R1 R2 C1 C2 e el(t) e2(t) Del(t) Dez(t) 3 format compact 4 5 Del diff(el) 6 De2 = diff(e2) 7 % Write the KCL equation for node voltage, el. 8 % Use Ohm's law and the current through a capacitor to rewrite the KCL equation for node voltage, el, in terms of e0, e1, e2, R1, R2, and C1. 9 KVL1 = 10 % Write the KCL equation for the node voltage, e2. 11 % Use Ohm's law and the current through a capacitor to rewrite the KCL equation for node voltage, e2, in terms of e1, e2, R2, and C2. 12 KVL2 = 13 % Solve equation for e0. 14 eqn1 = 15 % Solve equation for el. 16 eqn2 = 17 % Use algebra to substitute one equation into the other and solve for the dynamic equation. 18 eqn1 subs(eqn1,1hs (eqn2), rhs (eqn2)) 19 e rhs (eqn1) = 20 % Simplify equation to solve for the dynamic equation. 21e0= 22 % Show your equation e as human readable text 23
System Modeling (Electrical Systems: RC Circuits)
Figure below shows a circuit made up of two RC circuits. Find the dynamic equations of the system.
eo
R₁
e₁
iRI
R₂
e2
iR2
C₂
icz
ici
Use variable e0 for your answer.
Transcribed Image Text:System Modeling (Electrical Systems: RC Circuits) Figure below shows a circuit made up of two RC circuits. Find the dynamic equations of the system. eo R₁ e₁ iRI R₂ e2 iR2 C₂ icz ici Use variable e0 for your answer.
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