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Question -

Two long and parallel straightwires A and B carrying currents of 8.0 A and 5.0 A in the same direction areseparated by a distance of 4.0 cm. Estimate the force on a 10 cm section ofwire A.



Answer -

Current flowing in wire A, IA =8.0 A

Current flowing in wire B, IB =5.0 A

Distance between the twowires, r = 4.0 cm = 0.04 m

Length of a section of wire A, l =10 cm = 0.1 m

Forceexerted on length l due to the magnetic field is given as:

Where,

 = Permeability of freespace = 4π × 10–7 T m A–1

The magnitude of force is 2 × 10–5 N.This is an attractive force normal to A towards B because the direction of thecurrents in the wires is the same.

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