When a voltage V is applied to a series circuit consisting of a resistor R and an inductor L, the current at time t is Expand I(t) in a Maclaurin series Show that I(t) Vt L for small t I (t) ( 2 ) (1 e RI L)...

Substitutingfort in the Maclaurin series for e give ...

When a voltage V is applied to a series circuit consisting of a resistor R and an

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When a voltage V is applied to a series circuit consisting of a resistor R and an inductor L, the current at time t is

I (t) = ( 2 ) (1 - e-RI/L)

Expand I(t) in a Maclaurin series. Show that I(t) ≈ Vt/L for small t.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 19, 2023 08:04 AM

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When a voltage V is applied to a series circuit consisting of a resistor R and an

Question:

I (t) = ( 2 ) (1 - e-RI/L)

Step by Step Answer:

Substitutingfort in the Maclaurin series for e give...View the full answer

Calculus

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