Answer :
Value of current [tex]I_{b}[/tex] is 82.9 A
What is a current carrying conductor?
A conductor carrying current generates a magnetic field around itself. In other words, it behaves like a magnet and develops a force when the magnet is brought into a magnetic field. Magnetic fields also exert equal and opposite forces on conductors through which current flows. A conducting conductor produces its own magnetic field and experiences a force when interacting with an external magnetic field.
When two energized wires are placed parallel to each other, their magnetic fields interact and exert a force between the wires. The force acting on each wire is the same in magnitude but opposite in direction. This is true even if the conductors carry currents of different magnitudes.
mg = [tex]\frac{4\pi * 10^{-7} }{4\pi }[/tex] × [tex]\frac{2 I_{a}I_{b} l }{r}[/tex]
Given, Iₐ = 130 A
m = 0.100 g/cm or 0.1×10⁻²g/m
So, by substituting values in the formula:
0.1×10⁻²× 9.8 = 10⁻⁷ ×[tex]\frac{2 * 130* I_{b} }{2.2 * 10^{-2} }[/tex]
[tex]I_{b}[/tex] = 82.9 A
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