An RL circuit has an emf given (in volts) by 5sin 3t, a resistance of 6 ohms, an inductance of 0.4 henry, and an initial current of 5 amperes which satisfies the following differential equation dl + 15 1 = 5 sin 3t dt Find the current I in the circuit at any time t.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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An RL circuit has an emf given (in volts) by 5sin 3t, a resistance of
6 ohms, an inductance of 0.4 henry, and an initial current of 5 amperes
which satisfies the following differential equation
dl
+ 15 1 = 5 sin 3t
dt
Find the current I in the circuit at any time t.
Transcribed Image Text:An RL circuit has an emf given (in volts) by 5sin 3t, a resistance of 6 ohms, an inductance of 0.4 henry, and an initial current of 5 amperes which satisfies the following differential equation dl + 15 1 = 5 sin 3t dt Find the current I in the circuit at any time t.
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