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Engineering Electromagnetics with CD 7TH Edition Chapter 9 Problem 8 Textbook So

ID: 2125491 • Letter: E

Question

Engineering Electromagnetics with CD 7TH Edition Chapter 9 Problem 8 Textbook Solution


A perfectly conducting filament is formed into a circular ring of radius a. At one point, a resistance R is inserted into the circuit, and at another a battery of


voltage Vo is inserted. Assume that the loop current itself produces negligible magnetic field.


(b) repeat (a), assuming the battery is removed, the ring is closed again, and a linearly increasing B field is applied in a direction normal to the loop surface.


Please show the work in evaluating thethe derivative and the surface integral.

Explanation / Answer

Everything around us is magnetic. As we may describe objects and materials by their size,

colour or chemical composition, so we may also describe them by their magnetic properties.

This may come as a surprise to anyone without a physics background because in everyday life

we usually come across magnetism in rather limited ways, in terms of magnets and metals, or

recording tape. We do not think about the magnetic behaviour of rocks or soil, or the dust in

the air that we breathe - and most of us would certainly not consider the magnetic properties of

river water or leaves on a tree. But all matter is affected by a magnetic field. The effect may be

extremely weak or even negative, but it exists and can be measured easily.