The voltage across a 50-mH inductor is given by\[ v(t) = (3t^2 + 2t + 4) \, \text{V for } t > 0 \]Determine the current \( i(t) \) through the inductor. Assume that \( i(0) = 4 \, \text{A} \).The current \( i(t) \) through the inductor is \[ \left( \underline{\phantom{a}} \, t^3 + \underline{\phantom{a}} \, t^2 + \underline{\phantom{a}} \, t + \underline{\phantom{a}} \right) \, \text{A} \]

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Answered: v(t) = (3r² + 2t + 4) V for 1 > 0…

v(t) = (3r² + 2t + 4) V for 1 > 0 Determine the current () through the inductor. Assume that (0) = 4 A. The current (0 through the inductor is 3+ + t+

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

The voltage across a 50-mH inductor is given by

\[ v(t) = (3t^2 + 2t + 4) \, \text{V for } t > 0 \]

Determine the current \( i(t) \) through the inductor. Assume that \( i(0) = 4 \, \text{A} \).

The current \( i(t) \) through the inductor is
\[ \left( \underline{\phantom{a}} \, t^3 + \underline{\phantom{a}} \, t^2 + \underline{\phantom{a}} \, t + \underline{\phantom{a}} \right) \, \text{A} \]

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