Which of the following statement is not correct regarding force between two parallel wires?

CONCEPT:

Magnetic field:

• The space or region around the current carrying wire/moving electric charge or around the magnetic material in which force of magnetism can be experienced by other magnetic material is called as magnetic field/magnetic induction by that material/current.
• It is denoted by B.
• The magnetic force per unit length between two parallel wires is given by;

\(F = \;\frac{{{\mu _{0\;\;\;}}{I_1}\;{I_2}}}{{2\pi \;d}}\)

Where μ₀ = permittivity of free space, I₁ = current in the first wire, I₂ = current in the second wire, and d = distance between two wires.

EXPLANATION:

• Since the force per unit length is given by \(F = \;\frac{{{\mu _{0}}{I_1}\;{I_2}}}{{2\pi \;d}}\)
• As the current in wires increases then the force will also increase. So statement 1 is correct.
• As the distance between two wires increases then the force will decrease. So statement 2 is correct.

• F orce is independent of the radius of the wire. So statement 3 is wrong.