equation to com ormulate a mathematical ssume inductance value (L) of 25 milli v(t) = 2 sin(100t) Volts, use mid-on termine the current after 3 seconds. Us
equation to com ormulate a mathematical ssume inductance value (L) of 25 milli v(t) = 2 sin(100t) Volts, use mid-on termine the current after 3 seconds. Us
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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Question
![Activity 3
One of the systems that you are working on includes an inductor, and the voltage across the inductor
could be described using the following equation:
d
v(t) = L x = (i(t))
dt
(3-a)
Formulate a mathematical equation to compute the current passing through the inductor.
Assume inductance value (L) of 25 milli Henry, and initial current (at t = 0) of 2 Amperes.
If v(t) = 2 sin(100t) Volts, use mid-ordinate and Simpson's rules to numerically
determine the current after 3 seconds. Use 8 intervals for each.
(3-b)
(3-c) Formulate a model in MATLAB to verify your answers in the previous part (for the mid
ordinate rule). Change the number of intervals from 5 to 25 (unit steps) and produce a
graph of integration result versus number of iterations.
(3-d) Use the results obtained above to critically evaluate the applied numerical integration
methods, commenting on their applicability and accuracy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F967bfed1-13a6-4ac4-97ef-581712971f35%2Fd6d38a27-5ca1-419f-a989-d7eb83f09727%2Fxv4s2k3a_processed.png&w=3840&q=75)
Transcribed Image Text:Activity 3
One of the systems that you are working on includes an inductor, and the voltage across the inductor
could be described using the following equation:
d
v(t) = L x = (i(t))
dt
(3-a)
Formulate a mathematical equation to compute the current passing through the inductor.
Assume inductance value (L) of 25 milli Henry, and initial current (at t = 0) of 2 Amperes.
If v(t) = 2 sin(100t) Volts, use mid-ordinate and Simpson's rules to numerically
determine the current after 3 seconds. Use 8 intervals for each.
(3-b)
(3-c) Formulate a model in MATLAB to verify your answers in the previous part (for the mid
ordinate rule). Change the number of intervals from 5 to 25 (unit steps) and produce a
graph of integration result versus number of iterations.
(3-d) Use the results obtained above to critically evaluate the applied numerical integration
methods, commenting on their applicability and accuracy.
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