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Figure below shows two infinitely long a...

Figure below shows two infinitely long and thin current carrying conductors X and Y kept in vacuum, parallel to each other, at a distance .a..

(i) How much force per unit length acts on the conductor y due to the current flowing through X ? Write your answer in terms of `((mu0)/(4pi)),I_(1),I_(2)` and a.
(Derivation of formula is not required.),
(ii) Define ampere, in terms of force between two current carrying conductors.

Text Solution

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The force per unit length acts on the conductor Y due to the current flowing through X is,
`(F)/(l)=(mu_(0)2I_(1)I_(2))/(4pia)`
(ii) Definition of 1 ampere : 1 ampere is the current which when flwoing in each of two infinitely long parallel conductors placed 1 metre apart in vacuum produces between them a force of exactly `2xx10^(-7)` newton per metre of length.
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