Faraday's law characterizes the voltage drop across an inductor such as di dt where Vvoltage drop (V), L inductance (in henrys; 1 H-1V s/A), 1= current (A) andt time (s). Suppose that the current through the inductor is represented by the function such as i(t) = (20- t) +(20 -t) cos(VE). i. Use the centered difference formula, 0(h*) to estimate the voltage drop at t = 10 s for an inductance of 4 H using a step size, h =3 accurate to 3 decimal places.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter14: Inductance
Section: Chapter Questions
Problem 69P: An LC circuit in an AM tuner (in a car stereo) uses a coil with an inductance of 2.5 mH and a...
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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=1V s/A),i=
current (A) andt time (s). Suppose that the current through the inductor is
represented by the function such as
i(t) = (20-t) +(20- t) cos(VE).
i.
Use the centered difference formula, 0(h") to estimate the voltage drop at
t = 10 s for an inductance of 4 H using a step size, h = 3 accurate to 3
decimal places.
Transcribed Image Text: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=1V s/A),i= current (A) andt time (s). Suppose that the current through the inductor is represented by the function such as i(t) = (20-t) +(20- t) cos(VE). i. Use the centered difference formula, 0(h") to estimate the voltage drop at t = 10 s for an inductance of 4 H using a step size, h = 3 accurate to 3 decimal places.
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