Calculating Magnetic Field Between Parallel Wires

AI Thread Summary
To calculate the magnetic field at point P due to two parallel wires carrying currents in opposite directions, the Biot-Savart Law should be used for small wire segments. The distance r should be calculated correctly, considering the geometry of the setup, specifically using the Pythagorean theorem for the segments' distances. If the wires were long enough, Ampere's Law could be applicable instead. The discussion highlights confusion over the correct equations and the interpretation of the problem's requirements. Correctly identifying the parameters and equations is crucial for solving the magnetic field calculation.
viperassasin
Messages
11
Reaction score
0

Homework Statement



Two parallel wires are 5.60 cm apart and carry currents in opposite directions, as shown in the figure.

Find the magnitude of the magnetic field at point P due to two 1.50-\,{\rm mm} segments of wire that are opposite each other and each 8.00 {\rm cm} from P.


Homework Equations





The Attempt at a Solution


I don't know what to us for r or I'm using the wrong equation

but i used muenot Itop/(2pi r) + muenot I bottom/(2pi r) where r was the sqrt(8^2 +8^2)


 
Physics news on Phys.org
I think you should use the Biot-Savart Law.
 
Find the magnitude of the magnetic field at point P due to two 1.50-\,{\rm mm} segments of wire that are opposite each other and each 8.00 {\rm cm} from P.

Can you rephrase that line so it is readable? I don't know what they are asking now...

If they're asking the magnetic field for only small segments of the wire than yes, use Biot-Savart.

If they're asking the magnetic field for large segments of the wire (nearing infinite in relation to the other distances) then you can probably use Ampere's law ( int B * dl = ...)
 
got it

I can't post pics yet. but i got it anyway I was using the wrong thing for r on each magnetic field.
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top