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Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 16EQ

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Question

Differential equation

An RL circuit has an emf of 5 V,
a resistance of 50 Q, an
inductance of 1 H, and no
initial current. Find the current
in the circuit at any time t.
Distinguish between the
transient and steady-state
current. *
Transient current: i= 0.2(1-
O e^(-5t))Amperes | Steady State
current: i= 0.2Amperes
Transient current: i= 0.1(1-
O e^(-50t))Amperes | Steady State
current: i= 0.1Amperes
Transient current: i= 0.5(1-
O e^(-50t))Amperes | Steady State
current: i= 0.5Amperes
Transient current: i= 0.1(1-
O e^(-5t))Amperes | Steady State
current: i= 0.1Amperes

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