Question

# Derive an expression for the force between two parallel conductors carrying currents. Hence define ampere.

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#### Let the distance between the two conductors carrying current I1 and I2 be d.Magnetic field produced by conductor 1 at a distance d, B1=μo4π2I1dForce acting the conductor 2 placed in this magnetic field F=B1I2LThus we get F=μo4π2I1I2dLForce er unit length of conductor 1 f=μo4π2I1I2dNow put d=1m, I1=I2=1A and L=1mWe get F=μ22π=2×10−7 NThus we define ampere as the current flowing in each conductor separated by a unit distance so that one conductor applies a force of 2×10−7 N on a unit length of another parallel conductor.

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How can we define an ampere using the concept of the force between two infinitely long parallel current carrying conductors?

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Q2

Using the concept of force between two infinitely long parallel current carrying conductors, define one ampere of current.

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Q5

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