The figure below shows a circuit with a battery of EMF = 3.75 V, a resistor with R = 2.16 2, and an inductor with L = 2.45 H. If the battery is connected at t = 0, at what time will the rate of energy stored in the inductor be equal to x = 1.89 times the power dissipated in the resistor? i S 99 4+ R L2 2 Hint You can use the conservation of energy to determine the fraction of the power dissipated in the resistor: total energy lost by a battery per unit of time (power) is &I is spent on the rate of energy stored by the inductor and the power dissipated in the resistor I² R. As EMF, resistance, and inductance are given to you, you know the time dependence of the current to calculate the fraction x at any given time.
The figure below shows a circuit with a battery of EMF = 3.75 V, a resistor with R = 2.16 2, and an inductor with L = 2.45 H. If the battery is connected at t = 0, at what time will the rate of energy stored in the inductor be equal to x = 1.89 times the power dissipated in the resistor? i S 99 4+ R L2 2 Hint You can use the conservation of energy to determine the fraction of the power dissipated in the resistor: total energy lost by a battery per unit of time (power) is &I is spent on the rate of energy stored by the inductor and the power dissipated in the resistor I² R. As EMF, resistance, and inductance are given to you, you know the time dependence of the current to calculate the fraction x at any given time.
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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Transcribed Image Text:The figure below shows a circuit with a battery of EMF = 3.75 V, a resistor with R = 2.16 2, and an inductor with L = 2.45 H. If
the battery is connected at t = 0, at what time will the rate of energy stored in the inductor be equal to x = 1.89 times the power
dissipated in the resistor? i
S
99
4+
R
L2
2
Hint
You can use the conservation of energy to determine the fraction of the power dissipated in the resistor: total energy lost by a
battery per unit of time (power) is &I is spent on the rate of energy stored by the inductor and the power dissipated in the resistor
I² R. As EMF, resistance, and inductance are given to you, you know the time dependence of the current to calculate the fraction
x at any given time.
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