# Solution - Force Between Two Parallel Currents, the Ampere

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#### Question

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

#### Solution

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Two infinitely long straight parallel wires, '1' and '2', carrying steady currents I1 and I2 in the same direction are separated by a distance d. Obtain the expression for the magnetic field vecBdue to the wire '1' acting on wire '2'. Hence find out, with the help of a suitable diagram, the magnitude and direction of this force per unit length on wire '2' due to wire '1'. How does the nature of this force changes if the currents are in opposite direction? Use this expression to define the S.I. unit of current.

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