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(1) = )(1 G (1-e-RilL) e-RUIL) Expand I(t) to its Maclaurin series. Choose the Maclaurin series. V (-1)*+1 ( Rt I(t) R n=1 n! V I(t) (-1)" (#)' Rt \" (п + n=1 (-1)*+1 n V L I(t) Σ n! Rt n=1 n+1 V I(t) (-1)" L п! Rt n=1
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(1) = )(1 G (1-e-RilL) e-RUIL) Expand I(t) to its Maclaurin series. Choose the Maclaurin series. V (-1)*+1 ( Rt I(t) R n=1 n! V I(t) (-1)" (#)' Rt \" (п + n=1 (-1)*+1 n V L I(t) Σ n! Rt n=1 n+1 V I(t) (-1)" L п! Rt n=1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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