Solve EMF, Induction Homework Problems

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Homework Help Overview

The discussion revolves around two problems related to electromotive force (EMF) and inductance. The first problem involves calculating the energy stored in an inductor with given resistance and voltage, while the second problem focuses on determining the minimum time required to change the current through another inductor within specified limits.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the energy stored in an inductor and the relevant formulas, questioning how to apply these equations to the problems presented. There is also a focus on understanding the relationship between voltage and current change in inductors.

Discussion Status

Some participants have provided hints regarding the formulas for energy stored in an inductor and the voltage across an inductor. There is an ongoing exploration of how to utilize these formulas effectively in the context of the problems.

Contextual Notes

Participants are navigating through the application of formulas without providing complete solutions. There is an indication of potential confusion regarding the interpretation of the problems and the necessary calculations.

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Homework Statement


1. A 109.3 mH inductor whose windings have a resistance of 3.6 Ω is connected across a 11 V battery having an internal resistance of 1.83 Ω. How much energy is stored in the inductor?

2. The maximum allowable potential difference across a 225.7 mH inductor is 401 V. You need to raise the current through the inductor from 1.28 A to 3.88 A. What is the minimum time you should allow for changing the current?


Homework Equations


EMF(max)=wNBA
w=angular momentum
N=number of loops
B=magnetic field
A=area


The Attempt at a Solution



For both of these what seem to be similar problem I am hitting a dead end!
 
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I thought of something entirely different upon seeing wNBA...

Anyway, here's a hint: #1 asks for the energy stored in an inductor. Do you know a formula for that?

For #2, do you know an equation for the voltage (potential difference) across an inductor?
 
#1 U=.5L*I^2#2
V=-L(dI/dt)

d I= delta flux
 
talaroue said:
#1 U=.5L*I^2


#2
V=-L(dI/dt)
Yep, that's right. Note that in both cases, I is electrical current (I hope you knew that).

Now do you have any ideas about how to use those formulas?
 

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