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6-5) Consider an LR circuit with a battery, ɛs. The circuit has been running for a very long time. The battery is removed at t= 0 and the rest of the circuit immediately reconnected. Five milliseconds later, the current is measured to be 0.2 A. If R = 15 Ohms and the emf of the battery in 12 V, A) What is the inductance, L? B) What is the time constant, t? C) How long after the switch is thrown will the voltage across the resistor be 4V?

6-5) Consider an LR circuit with a battery, ɛs. The circuit has been running for a very long time. The battery is removed at t= 0 and the rest of the circuit immediately reconnected. Five milliseconds later, the current is measured to be 0.2 A. If R = 15 Ohms and the emf of the battery in 12 V, A) What is the inductance, L? B) What is the time constant, t? C) How long after the switch is thrown will the voltage across the resistor be 4V?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem 6-5: Analysis of an LR Circuit** Consider an LR circuit with a battery, denoted as \( \varepsilon_b \). The circuit has been running for a very long time, indicating that it has reached a steady state. At time \( t = 0 \), the battery is removed, and the rest of the circuit is immediately reconnected. Five milliseconds later, the current is measured to be 0.2 A. The resistor has a resistance \( R = 15 \) Ohms, and the electromotive force (emf) of the battery is 12 V. **Tasks:** A) Calculate the inductance, \( L \). B) Determine the time constant, \( \tau \). C) Find out how long after the switch is thrown will the voltage across the resistor be 4V. **Diagram Explanation:** The diagram shows a simple LR circuit where the inductor is in series with a resistor and a switch. The switch mechanism allows the battery to be disconnected and the circuit to form a loop excluding the battery, which indicates it is part of the "reconnected" configuration mentioned in the problem.
Transcribed Image Text:**Problem 6-5: Analysis of an LR Circuit** Consider an LR circuit with a battery, denoted as \( \varepsilon_b \). The circuit has been running for a very long time, indicating that it has reached a steady state. At time \( t = 0 \), the battery is removed, and the rest of the circuit is immediately reconnected. Five milliseconds later, the current is measured to be 0.2 A. The resistor has a resistance \( R = 15 \) Ohms, and the electromotive force (emf) of the battery is 12 V. **Tasks:** A) Calculate the inductance, \( L \). B) Determine the time constant, \( \tau \). C) Find out how long after the switch is thrown will the voltage across the resistor be 4V. **Diagram Explanation:** The diagram shows a simple LR circuit where the inductor is in series with a resistor and a switch. The switch mechanism allows the battery to be disconnected and the circuit to form a loop excluding the battery, which indicates it is part of the "reconnected" configuration mentioned in the problem.
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