# Having trouble linearizing an equation

1. Mar 26, 2013

### Hedgehog1

1. The problem statement, all variables and given/known data
The goal of my lab was to measure the ratio of charge to mass for electrons (e/m) and the approximate ambient magnetic field of the Earth (BE). I have come up with what is the required equation (my TA confirmed this) but I am having trouble linearizing it.

y=mx+b
y=(e/m)x+BE

While the answer I have would work, I can't help but feel that there is a better way to linearize this equation. Any help would be appreciated.
2. Relevant equations

e/m=2v/[(BH-BE)^2]*r^2

3. The attempt at a solution

e*(BH-BE)^2/m=2v/r^2

(BH-BE)^2=2vm/er^2

BH-BE= (2vm/er^2)^1/2

BH=[(2vm/er^2)^1/2] +BE

BH=[(2vm/e)^1/2]*1/r +BE

2. Mar 27, 2013

### Staff: Mentor

If you want to solve that equation for BH, there is no possible other result (apart from more complicated ways to write the same thing).

Be careful with written fractions - 1/ab is ambiguous. A computer would interpret it as (1/a)*b, and some human readers get confused. If you mean 1/(ab), the brackets are important.