Two power lines run parallel for a distance of 270 m and are separated by a distance of 40.0 cm. If the current in each of the two lines is 140 A and if they run in opposite directions, determine the magnitude and direction of the force each wire exerts on the other.
Answers:
magnitude: _____ N
direction: towards eachother, or away from eachother

Respuesta :

The force exerted by each wire on the other is 2.646N and it is away from each other.

The distance between the parallel power lines is 40cm and they are of a length of 270m each.

The current in the power line is 140A.

The force on each power line due to another can be given by,

F = uI₁I₂L/2πr

Where,

I₁ and I₂ are the current in the line,

L is the length of the wire,

r is the distance between them,

Putting values,

F = 4 x π x 10⁻⁷ x 140 x 140 x 270/2 x π x 0.4

Solving further,

F = 2.646 N.

The force will be away from each other because the current is in same direction. The magnitude of the force will remain same, whatever direction of the current may be.

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