Moving Charges and Magnetism


   
 
The Ampere
Force between Two Parallel Conductors Carrying Currents
Let us now calculate an expression for the force acting on a current carrying conductor
 
 
Currents in the Same Direction Attract Each Other
 
 
When two parallel current carrying conductors are close together, they exert force on each other. It is because one current carrying conductor is placed in the magnetic field of the other. If currents are in the same direction, the conductors attract each other, otherwise they repel. The direction of force can be checked using Fleming's left hand rule. One can see below that these forces are always equal and opposite on the two wires, even when the currents are not equal.
 
 
Consider two conductors parallel to each other separated by a distance r. The magnetic field induction at P on CD due to current I1 is
 
 
This conductor experiences a force F2 and points towards left according to Fleming's left hand rule. Now,
 
 
The force per unit length on each of the conductor is
 
 
Since the directions are towards each other, the two conductors attract each other.
 
Definition of Ampere
 
If I1 = I2 = 1
 
r = 1m
 
then,
 
F = 2x10-7 N/m
 
One ampere is that much current which when flowing through each of the two parallel conductors of length 1m and separated by 1m in vacuum experiences an attractive or repulsive force of 2 x 10-7N per metre of their length.
 
 
     
   
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