Law of Induction: What is the value of B in the equation ε = (BA)/t?

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The discussion centers on the equation ε = (BA)/t, where the user attempts to isolate B. They express confusion over the book's presentation of the equation, believing it violates algebraic rules. After working through the math, they confirm that B can be correctly derived as B = (εt)/A. The user acknowledges a misunderstanding regarding the notation in the book, specifically the division between A and t. Clarity on this algebraic manipulation resolves their initial confusion.
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Homework Statement



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The Attempt at a Solution



cos theta = 1 so we'll ignore that. I don't understand what's going on, it seems like the book has violated basic algebraic rules.

The original equation, simplified somewhat is:

ε = (BA)/t

In order to get B by itself, you multiply both sides by t

εt = BA

Then divide both sides by A

(εt)/A = B

The book has it differently
 

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Right. the book has B = E/(A/t) = Et/A which is what you have.
 
Ok, I didn't see that little slash between A and t
 
It is a bit hard to see with the modulus sign.
 

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