Two wires are free to move, the current in each one is 10 A, the mass of each one is 2.5 g, they are separated by a distance of 20 cm, and the length of each one is 5 cm.
Determine (i) where and (ii) when will the two wire touch each other if they were standing parallel to each other.
2. F= Bil
3. F (interchangeable between two wires) =μi₁i₂l/2πd
4. a= Δv/t = Δx/t²
(Where: B is the magnetic flux density, i is the current, F is the force, a is the acceleration, v is the velocity, x is the distance and t is the time.)
The Attempt at a Solution
(i) where will they touch each other?
Since the direction of the current is not mentioned in the problem statement, I assumed that the current in both wires would be in the same direction so that they can attract each other.
And since the current in both wires is 10A, and it flows in the same direction, they will touch each other at half the distance between the wires (at point y in Figure below).
(ii) when will they touch each other?
That's my attempt to determine the time they reach point y.
Note: Δx= 0.1-0=0.1 =x.
(Ia and Ib) are (i₁ and i₂).
So, is my attempt correct?