1. An RLC circuit consists of three elements: a resistor (R), and inductor (L) and a capacitor (C), as shown. By Kirchhoff's voltage rule, the algebraic sum of the voltage drops around a closed circuit is zero. Resistor Inductor Capacitor Ldi dt iR Thus, iR+L di 9 + dt C where i= current in amperes (A), R = resistance in ohms (Q), L = inductance in henrys (H), q = charge in coulombs (C) and C = capacitance in farads (F). (Note: Solve for di in the equation above)
1. An RLC circuit consists of three elements: a resistor (R), and inductor (L) and a capacitor (C), as shown. By Kirchhoff's voltage rule, the algebraic sum of the voltage drops around a closed circuit is zero. Resistor Inductor Capacitor Ldi dt iR Thus, iR+L di 9 + dt C where i= current in amperes (A), R = resistance in ohms (Q), L = inductance in henrys (H), q = charge in coulombs (C) and C = capacitance in farads (F). (Note: Solve for di in the equation above)
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter21: Resistive-capacitive Series Circuits
Section: Chapter Questions
Problem 6RQ: A 15-F AC capacitor is connected in series with a 50 resistor. The capacitor has a voltage rating...
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![1. An RLC circuit consists of three elements: a resistor (R), and inductor (L) and a capacitor (C), as
shown. By Kirchhoff's voltage rule, the algebraic sum of the voltage drops around a closed circuit is zero.
Resistor Inductor Capacitor
Ldi
dt
iR
mell
Thus,
iR +L
di +9
= 0
where i = current in amperes (A), R= resistance in ohms (2), L = inductance in henrys (H), q = charge
in coulombs (C) and C = capacitance in farads (F).
di
(Note: Solve for -
dt
in the equation above)
Also, the current is related to the charge given by
dq
dt
(a) If the initial values are i(0) = 0 and q(0) = 1.5 C, use Euler's method to solve this pair of differential
equations from t = 0 to t = 0.01 s using a step size of At = 0.01 s. Use R= 2002, L= 5 H, and
C = 10 F.
The table is similar to this:
i
(b) Plot i vs. t and q vs. t curves using google sheet or excel on a single chart.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4d75b51-b88b-4894-8e58-78652dcebeae%2F51c27044-09b8-4c26-82b9-d03cf94b20e9%2Fx8beq6g_processed.png&w=3840&q=75)
Transcribed Image Text:1. An RLC circuit consists of three elements: a resistor (R), and inductor (L) and a capacitor (C), as
shown. By Kirchhoff's voltage rule, the algebraic sum of the voltage drops around a closed circuit is zero.
Resistor Inductor Capacitor
Ldi
dt
iR
mell
Thus,
iR +L
di +9
= 0
where i = current in amperes (A), R= resistance in ohms (2), L = inductance in henrys (H), q = charge
in coulombs (C) and C = capacitance in farads (F).
di
(Note: Solve for -
dt
in the equation above)
Also, the current is related to the charge given by
dq
dt
(a) If the initial values are i(0) = 0 and q(0) = 1.5 C, use Euler's method to solve this pair of differential
equations from t = 0 to t = 0.01 s using a step size of At = 0.01 s. Use R= 2002, L= 5 H, and
C = 10 F.
The table is similar to this:
i
(b) Plot i vs. t and q vs. t curves using google sheet or excel on a single chart.
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