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

  • Thread starter Thread starter bobsmith76
  • Start date Start date
  • Tags Tags
    Induction Law
Click For Summary

Homework Help Overview

The discussion revolves around the equation ε = (BA)/t, which relates electromotive force (ε), magnetic field (B), area (A), and time (t). Participants are examining the algebraic manipulation of this equation to isolate B.

Discussion Character

  • Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to rearrange the equation to solve for B, with some confusion regarding the book's presentation of the equation. There is a focus on understanding the algebraic steps involved in isolating B.

Discussion Status

Some participants have pointed out discrepancies between their manipulations and the book's version of the equation. Clarifications about the notation used in the book are being discussed, indicating a productive exploration of the algebra involved.

Contextual Notes

There is mention of a potential misunderstanding due to the formatting of the equation in the book, which may have led to confusion in interpreting the relationship between the variables.

bobsmith76
Messages
336
Reaction score
0

Homework Statement



See attachment



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
 

Attachments

  • Screen shot 2012-04-05 at 6.05.32 PM.png
    Screen shot 2012-04-05 at 6.05.32 PM.png
    5.3 KB · Views: 461
Physics news on Phys.org
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.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
12K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
15
Views
2K
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
2
Views
6K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K