A magnetic field of 5 10⁻⁵ ~T is produced at a perpendicular distance of 0.2 ~m from a long straight wire carrying electric current. If the permeability of free space is 4 10⁻⁷ ~T ~m / A . The current passing through the wire in A is

Step-by-step solution

Given, magnetic field, B=5 10⁻⁵ ~T and aligned r & =0.2 ~m ₀ & =4 10⁻⁷ mT / A aligned Magnetic field produced by long straight current (I) carrying wire is given by aligned & B= ₀ 2 I r 5 10⁻⁵= 4 10⁻⁷ 2 I 0.2 & I= 5 10⁻⁵ 2 0.2 4 10⁻⁷ =0.5 10^2=50 ~A aligned