A 0.250-H inductor carries a time-varying current given by

Chapter 30, Problem 46P

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QUESTION:

Problem 46P

A 0.250-H inductor carries a time-varying current given by the expression i = (124 mA) cos[(240π/s)t] (a) Find an expression for the induced emf as a functions of time. Graph the current and induced emf as functions of time for t = 0 and t = 1/60s. (b)What is the maximum emf? What is the current when the induced emf is a maximum? (c) What is the maximum current? What is the induced emf when the current is a maximum?

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QUESTION:

Problem 46P

A 0.250-H inductor carries a time-varying current given by the expression i = (124 mA) cos[(240π/s)t] (a) Find an expression for the induced emf as a functions of time. Graph the current and induced emf as functions of time for t = 0 and t = 1/60s. (b)What is the maximum emf? What is the current when the induced emf is a maximum? (c) What is the maximum current? What is the induced emf when the current is a maximum?

ANSWER:

Problem 46P

Solution 46 P

Step 1 :

Introduction :

In the question, we need to find an expression for the induced emf as a functions of time and plot a graph of current and induced emf as function of time for t=0 to

In the second part we need to find maximum emf , and the current when the induced emf is maximum

In the third part, we need to find the maximum current and induced emf when the current is maximum

Data given

Expression

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