Faraday's law characterizes the voltage drop across an inductor such as di VL = L- dt where V, = voltage drop (V), L = inductance (in henrys; 1 H = 1 V s/A), i = current (A) and t= time (s). Suppose that the current through the inductor is represented by the function such as i(t) = (20 – t)? + (20 – t) cos(vī). i. Use the centered difference formula, O(h*) to estimate the voltage drop at t = 10 s for an inductance of 3 H using a step size, h = 3 accurate to 3 decimal places.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
(a)
Faraday's law characterizes the voltage drop across an inductor such as
di
V = L-
dt
where V, = voltage drop (V), L = inductance (in henrys; 1 H = 1 V s/A), i =
current (A) and t = time (s). Suppose that the current through the inductor is
represented by the function such as
i(t) = (20 – t)? + (20 – t) cos(VT).
i. Use the centered difference formula, O(h*) to estimate the voltage drop at
t = 10 s for an inductance of 3 H using a step size, h = 3 accurate to 3
decimal places.
Transcribed Image Text:(a) Faraday's law characterizes the voltage drop across an inductor such as di V = L- dt where V, = voltage drop (V), L = inductance (in henrys; 1 H = 1 V s/A), i = current (A) and t = time (s). Suppose that the current through the inductor is represented by the function such as i(t) = (20 – t)? + (20 – t) cos(VT). i. Use the centered difference formula, O(h*) to estimate the voltage drop at t = 10 s for an inductance of 3 H using a step size, h = 3 accurate to 3 decimal places.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,