Two Parallel Wires( in 2 hrs!)

Winzer

1. The problem statement, all variables and given/known data
Two long parallel wires are a center-to-center distance of 1.50 cm apart and carry equal anti-parallel currents of 1.80 A. Find the magnetic field intensity at the point P which is equidistant from the wires. (R = 4.00 cm).


2. Relevant equations
[tex] B= \frac{u_{0}I}{2\pi r} [/tex] infinite wire



3. The attempt at a solution
Ok I have been workin this problem for a while.
In terms of vectors, the y's cancel out.
For the X direction I get:
[tex] B_{totalx}=\frac{u_{0} I R}{\pi \sqrt( (d/2)^2 +R^2)}[/tex]
I dont get why I am wrong, I took the sum of the b-fields in terms of vectors.
And no the answer is not 0 T!

Attached Thumbnails

 

PiratePhysicist

Why do you think that the Magnetic field is not zero?

Winzer

Thats what I thought originally , but it is incorrect.

PiratePhysicist

If they have equal, anti-parallel currents, and it's a point that's equidistance from the wires, then the answer has to be zero. Unless you decide to ignore the fact that magnetic fields are vectors.

TVP45

Anti-parallel.

Winzer

Thats what I used to think too, but when I entered 0 T it is incorrect.
there is something else I am missing.

Winzer

got an idea?

TVP45

Go back and ask your instructor what he means by anti-parallel. It has more than one meaning. It shouldn't but it does.

Winzer

I agree, word choice could be better.
However I don't have contact with my prof. right now, this assignment is due in an hour.

PiratePhysicist

If I was you I would give your best guess (ignore that you know it's "not right") and argue for points later. Chances are others having the same problem.

sadakaa

perhaps his answer is wrong by mistake? talk to other people in the class

Winzer

he is not, there is an answer I people got. There is some trick though, but my math tells me otherwise,

nrqed

??? The two B fields add up, they don't cancel!!
It's when the currents are in the same direction that the total B field is zero at the point midway between them.

Doc Al

Good.
True.
Show how you got that answer--it's not dimensionally correct, for one.

TVP45

OK, now that I can see your diagram, I see the instructor used anti-parallel in the correct sense.