# In the SI system, the unit of current, the ampere, is defined by this relationship using an apparatus called an AmpÃ¨re balance. What would be the force per unit length of two infinitely long wires, separated by a distance 1m, if 1A of current were flowing through each of them?

Here is the answer for the question - In the SI system, the unit of current, the ampere, is defined by this relationship using an apparatus called an AmpÃ¨re balance. What would be the force per unit length of two infinitely long wires, separated by a distance 1m, if 1A of current were flowing through each of them?. You'll find the correct answer below

### In the SI system, the unit of current, the ampere, is defined by this relationship using an apparatus called an AmpÃ¨re balance. What would be the force per unit length of two infinitely long wires, separated by a distance 1m, if 1A of current were flowing through each of them?

The Correct Answer is

If I = 1 A, & d = 1 m, plugging these values into the formula from the previous section,F/L = Î¼0(1 A)2 / [2Ï€(1m)]= Î¼0/ [2Ï€] â‹… A2/mÎ¼0 = 4Ï€Ã—10-7 â‹… Tâ‹…m/Aâ†’ 4Ï€Ã—10-7 / [2Ï€] â‹…A2/m â‹…Tâ‹…m/A â†’ 2Ã—10-7 â‹… Tâ‹…A1 T = 1 N / [Aâ‹…m] â†’2Ã—10e-7 â‹… N/m

### Reason Explained

If I = 1 A, & d = 1 m, plugging these values into the formula from the previous section,F/L = Î¼0(1 A)2 / [2Ï€(1m)]= Î¼0/ [2Ï€] â‹… A2/mÎ¼0 = 4Ï€Ã—10-7 â‹… Tâ‹…m/Aâ†’ 4Ï€Ã—10-7 / [2Ï€] â‹…A2/m â‹…Tâ‹…m/A â†’ 2Ã—10-7 â‹… Tâ‹…A1 T = 1 N / [Aâ‹…m] â†’2Ã—10e-7 â‹… N/m is correct for In the SI system, the unit of current, the ampere, is defined by this relationship using an apparatus called an AmpÃ¨re balance. What would be the force per unit length of two infinitely long wires, separated by a distance 1m, if 1A of current were flowing through each of them?