Self-inductance means that it also takes some time to get a current started in a coil, because (by Lenz’s law) as the current in the coil increases, an emf will be created to oppose the change. Suppose a certain coil has an inductance L and a resistance R. At time t = 0, we connect the coil to a battery with emf ϵ0. (a) Argue that conservation of energy implies that at every instant of time, the emf in the coil ϵ0 must satisfy the equation ϵ0 = ϵ + IR. (Hint: One easy way to show this is to consider power flows, but you can alternatively consider the electrical work done on a charge carrier that flows around the circuit.)
Self-inductance means that it also takes some time to get a current started in a coil, because (by Lenz’s law) as the current in the coil increases, an emf will be created to oppose the change. Suppose a certain coil has an inductance L and a resistance R. At time t = 0, we connect the coil to a battery with emf ϵ0. (a) Argue that conservation of energy implies that at every instant of time, the emf in the coil ϵ0 must satisfy the equation ϵ0 = ϵ + IR. (Hint: One easy way to show this is to consider power flows, but you can alternatively consider the electrical work done on a charge carrier that flows around the circuit.)
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter23: Faraday’s Law And Inductance
Section: Chapter Questions
Problem 8OQ
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Self-inductance means that it also takes some time to get a current started in a coil,
because (by Lenz’s law) as the current in the coil increases, an emf will be created to
oppose the change. Suppose a certain coil has an inductance L and a resistance R. At
time t = 0, we connect the coil to a battery with emf ϵ0.
(a) Argue that conservation of energy implies that at every instant of time, the emf in
the coil ϵ0 must satisfy the equation ϵ0 = ϵ + IR. (Hint: One easy way to show this
is to consider power flows, but you can alternatively consider the electrical work
done on a charge carrier that flows around the circuit.)
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