Recent content by CarsonAdams

You've forgotten the current term I in your expression for dF. It would seem that ##d\vec F = I (d\vec B \times d\vec l)## would yield the infinitesimal value of F at every point. In order to solve, can I simply take the double integral of the R.H.S. with respect to each variable? or do I first...

What is the formula to evaluate Lorentz force on a curved current carrying wire in a non-constant magnetic field (given by some known vector field). The standard form of Lorentz force (Fb=BxlI) when B and the wire's length 'l' are constants does not account for this case, nor does the...

This will fully explain. Remember, D=\frac{m}{V} and, for a sphere, V=\frac{4}{3}\pir2 so if V1=\frac{4}{3}\pir2 with full radius r, then V2=\frac{4}{3}\pi(\frac{r}{2})2 with half the radius or V2=\frac{1}{4}(\frac{4}{3}\pir2) which yields the proportion V2=\frac{1}{4}V1 So...

Are there natural solutions for A and B which satisfy the equation Ax+1=By where x and y are integers greater than 2? (I only include a greater than 2 stipulation because I can see a few obvious solutions such as 23+1=32) This has just sort of come to mind as I was thinking about the...

This might be better served in the chemistry section for reasons I'm about to explain. So this property of evaporation vs boiling strikes a lot of people as being sort of odd, but the answer lies in the very nature of liquids. So, all (maybe most?) have a 'vapor pressure,' that is, there are...

Tiny-tim, this is at least the second time you've slyly guided people to the right answer. Alright, I would use [SIZE="4"]\epsilon=Bl\nu or maybe better... [SIZE="4"]\epsilon=\frac{-\Delta(BAcos(\theta))}{\Delta t} So since obviously you don't have a changing area, and you're moving...

If a wire moves with some constant velocity (4 m/s for example in the diagram) parallel to the direction of the wire itself (unlike in most physics problems in which you drag a wire 'sideways' or perpendicular to the direction of the wire) but still perpendicular to the magnetic field, what is...

Split complex numbers- okay, maybe I was wrong. When I tried to dig up info on j=root(1) and j=/1, I didn't get anywhere. Thanks for giving me a name to look for.

If you haven't covered these in Calc 1, here you go. Newton Method Euler Method L'Hopital's rule Shell and Disk method for revolution of solids Integration/differentiation of polar and parametric functions Integration to find distance traveled in parametric and cartesian These may be beyond...

Got it. Stat plot on a graphing calculator almost always yields insight. Once you see the points as (1, 4/3) (2, 32/3) (3, 108/3) where (x,y), things get better. So basically, from the graph I got, I accidentally plotted the points as their inverses where (y,x) and saw that it was...

This may help. I think the issue here goes back to the fact that pi is a ratio of circumference to diameter. This seems fine, we're trying to see how many times your diameter will go around your circle, and that number is 3.14... times. Fine. Good. But wait, we always use the radius, not the...

*This is wrong, read lower, j can be expressed as a split complex number that has mathematical importance So j is confusing because it's also used by physicists because they use I for current. But Henry and Vi from MinutePhysics and ViHart respectively aren't wrong in their appreciation of...

Is it possible using only a straight edge and a compass to construct a Venn Diagram or a pair of overlapping circles in which the area of the lune of each circle is equal to the other and to the area of the overlapping region? (I've worked out most of the mathematics from calculating the area...

Duly noted, heartily agree after stepping back from the problem. Forgive my extraneous details, etc. An excellent interpretation of my ill-posed question and a wonderfully discreet mathematical explanation. I expected the displacement that B would attain in the IRF to be more complex than...

Outrunning Light; how quickly will light "catch up with you" Thank you all in advance, this is my first official thread but certainly not my first time eyeing the discussions of these forums. Hopefully this enlightens us all. Person A holds a flashlight Person B rides a jet capable of near...