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.
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
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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.
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