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Continuation of Exercise. (a) What is the metal energy
Chapter 30, Problem 54P(choose chapter or problem)
CALC Continuation of Exercise 30.27. (a) What is the total energy initially stored in the inductor? (b) At \(t=4.00 \times 10^{4}\) s, at what rate is the energy stored in the inductor decreasing? (c) At \(t=4.00 \times 10^{4}\) s, at what rate is electrical energy being converted into thermal energy in the resistor? (d) Obtain an expression for the rate at which electrical energy is being converted into thermal energy in the resistor as a function of time. Integrate this expression from \(t=0\) to \(t=\infty\) to obtain the total electrical energy dissipated in the resistor. Compare your result to that of part (a)
Equation Transcription:
Text Transcription:
t=4.00x10^4
t=4.00x10^4
t=0
t=infinity
Questions & Answers
QUESTION:
CALC Continuation of Exercise 30.27. (a) What is the total energy initially stored in the inductor? (b) At \(t=4.00 \times 10^{4}\) s, at what rate is the energy stored in the inductor decreasing? (c) At \(t=4.00 \times 10^{4}\) s, at what rate is electrical energy being converted into thermal energy in the resistor? (d) Obtain an expression for the rate at which electrical energy is being converted into thermal energy in the resistor as a function of time. Integrate this expression from \(t=0\) to \(t=\infty\) to obtain the total electrical energy dissipated in the resistor. Compare your result to that of part (a)
Equation Transcription:
Text Transcription:
t=4.00x10^4
t=4.00x10^4
t=0
t=infinity
ANSWER:
Solution 54P
The initial current magnitude in the resistor is given by
Given,
So, the initial current
(a) The mathematical expression for energy stored in an inductor is given by
Given,