You need to redesign an existing inductor so that it will store four times as much energy in the magnetic field with the same applied current as your existing inductor.You can accomplish this by which of the following options. Select all that apply. Question 7 options: Increase the number of windings by 4. Increase the number of windings by 2. Decrease the area of the inductor by 2. Increase the length of the inductor by 4. Increase the area of the inductor by 4. None of the other responses are correct.

The magnetic energy stored in an inductor is given by the equation U=12LI2L is the inductanceI is…

Answered: You need to redesign an existing…

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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Question

You need to redesign an existing inductor so that it will store four times as much energy in the magnetic field with the same applied current as your existing inductor.

You can accomplish this by which of the following options. Select all that apply.

Question 7 options:

	Increase the number of windings by 4.
	Increase the number of windings by 2.
	Decrease the area of the inductor by 2.
	Increase the length of the inductor by 4.
	Increase the area of the inductor by 4.
	None of the other responses are correct.

Expert Solution

Step 1

The magnetic energy stored in an inductor is given by the equation

$U = \frac{1}{2} L I^{2} L i s t h e i n d u c \tan c e I i s t h e c u r r e n t t h r o u g h t h e i n d u c t o r$

And the inductance of an inductor is

$L = N^{2} \frac{μ A}{I} N i s t h e n u m b e r o f t u r n s μ i s p e r m e a b i l i t y o f t h e i n d u c t o r c o r e A i s t h e c r o s s - s e c t i o n a l a r e a$

Using this,

$U = \frac{1}{2} (N^{2} \frac{μ A}{I}) I^{2} U = \frac{1}{2} N^{2} μ A I$

So, the magnetic energy stored in an inductor is directly proportional to the square of the number of turns, directly proportional tot he cross-sectional area of the inductor and directly proportional to the current

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