# Magnetic force between two parallel wires – problems and solutions

1. Two parallel conductors carrying currents I1 and I2, as shown in the figure below. What is the magnitude and direction of the magnetic force experienced by both conductors? (μo = 4π. 10-7 Wb.A-1.m-1)

Known :

1 (I1) = 3 Ampere The electric current 2 (I2) = 5 Ampere

The permeability of free spaceo) = 4π x 10-7 wb A-1 m-1

Distance between both conductors (L) = 5 cm = 5 x 10-2 meters

Wanted: The magnitude and direction of the magnetic force

Solution :

The direction of the electric current on conductor 1 is opposite with the direction of the electric current on conductor 2. Antiparallel currents (in opposite directions) exert a repulsive force on each other.

The magnitude of the magnetic force : F/l = 6 x 10-5 Newton

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2. Two parallel wires carrying currents I1 and I2 are 20-cm apart. What is the magnitude of the magnetic force experienced by each wire (μo = 4π. 10-7 Wb.A-1.m-1)

Known :

The electric current 1 (I1) = 5 Ampere The electric current 2 (I2) = 4 Ampere

The permeability of free space o) = 4π x 10-7 wb A-1 m-1

Distance between both wires (L) = 20 cm = 20 x 10-2 meters

Wanted: The magnitude of the magnetic force

Solution :

The direction of the electric current on conductor 1 is opposite with the direction of the electric current on conductor 2. Antiparallel currents (in opposite directions) exert a repulsive force on each other.

The magnitude of the magnetic force : F/l = 2 x 10-5 Newton

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