Find the magnitude of force per unit length exerted by one wire on the other

AI Thread Summary
The problem involves calculating the force per unit length between two parallel wires carrying equal currents in opposite directions. The correct formula for this calculation is F/L = (μ₀ * I₁ * I₂) / (2 * π * d), where d is the distance between the wires. The distance between the wires is 16 cm, derived from the positions at y = -8 cm and y = 8 cm. The initial calculation was incorrect due to confusion about the distance; using the correct distance yields the right answer. The final result should be expressed in microNewtons per meter (μN/m).
mba444
Messages
54
Reaction score
0

Homework Statement



Two long straight wires in the xy plane are
parallel to the x axis. One wire is at y =
−8 cm and the other wire is at y = 8 cm. The
current in each wire is 24 A and the currents
are in the negative x direction.
The permeability of free space is 4 π ×
10−7 T · m/A.

Find the magnitude of the force per unit
length exerted by one wire on the other. An-
swer in units of μN/m.

Homework Equations



F/L= Uo*ia*ib/(2*pi*d)

The Attempt at a Solution



what i did is that i assumed that one of the wires is at point zero , so i used the equation aboove plugging in these values
F/L= (4*pi*10^-7*24*24)/(2*pi*.08) = i got 1440
which is wrong !

is there what I am doing wrong or is it just a calculation mistake

need your help !
 
Physics news on Phys.org
What's the distance between the two wires?
 
if i add both the (-8+ 8) i will get zero .. unless i take the magnitude of the of the first so that i get 16

im really not sure =S
 
i used the 16 and i got it right .. therefore thanks for your help DOC AL
 
One wire is at -8, the other is at +8. How far apart are they?
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

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...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

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}...
View full post »

Similar threads

Force per unit length acting on four parallel wires
Replies
1
Views
3K
Finding the magnitude of the hydrostatic force per unit of circumference
Replies
5
Views
2K
Inductance per unit length of coaxial transmission line
Replies
3
Views
14K
Long distance electrical transmission efficiency
Replies
2
Views
2K
Strength of magnetic field at the end of a wire wrapped nail.
Replies
1
Views
1K
Magnetic energy density, and pressure due to magnetic force
Replies
23
Views
4K
Find Max Potential Energy per Unit Length of Wire
Replies
3
Views
4K
Force per unit length of wires-
Replies
1
Views
6K
Forces of a straight wire on a semi-circular wire loop (Magnetism)
Replies
17
Views
3K
Thin wire alternating exerts force on a nearby charge
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top