EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 1, Problem 15P

As depicted in Fig. P1.15, an RLC circuit consists of three elements: a resistor ( R ) , and inductor ( L ) and a capacitor ( C ) . The low of current across each element induces a voltage drop.

Kirchhoff's second voltage law states that the algebraic sum of these voltage drops around a closed circuit is zero,

i R + L d i d t + q C = 0

where i = current, R = resistance, L = inductance, t = time, q = charge, and C = capacitance. In addition, the current is related to charge as in

d q d t = i

(a) If the initial values are i ( 0 ) = 0  and  q ( 0 ) = 1  C , use Euler's method to solve this pair of differential equations from t = 0 to 0.1 s using a step size of Δ t = 0.01  s . Employ the following parameters for your calculation: R = 200   Ω ,   L = 5  H , and C = 10 4  F .

(b) Develop a plot of i and q versus t. Resistor Inductor

Chapter 1, Problem 15P, As depicted in Fig. P1.15, an RLC circuit consists of three elements: a resistor (R), and inductor

FIGURE P1.15

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EBK NUMERICAL METHODS FOR ENGINEERS

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