Q16 of 26 Page 1

Two long straight parallel conductors carry steady current I1 and I2 separated by a distance d. If the currents are flowing in the same direction, show how the magnetic field set up in one produces an attractive force on the other. Obtain the expression forth is force. Hence define one ampere.

The magnetic field induction on the second wire (2) due to current in the first wire is denoted by



And the force experienced on the wire 2 is given as



where


is the magnetic field at the second wire at point P, is the current on the wire 1, is the length of the first and the second wire respectively, is the distance between the wire is the current in the second wire, is the force experienced by the second wire on the first wire.


The definition for the one ampere is amount of current flowing in parallel conductor at a distance of d meters producing equal force of attraction and repulsion at a current of 1 ampere.


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