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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
Transcribed Image Text: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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