Question

An element dl=dxi is placed at the origin carrying current 10 a

Answer 1

Answer:

This question is related to answering the magnetic field on the Y-axis

This clearly depends on the distance of Y-axis for example lets say it was Y-axis was at a distance of 0.5 meter

         Therefore  

                   dℓ = dx = 10⁻² m

                             I = 10A

                             r = 0.5 m

Therefore,

                   dB➙ = (μ0 / 4π)[(I dℓ➙ × r➙) / r³] = [(μ0 I dℓ sinθ) / (4π × r²)]

                 ∴ magnetic field on y axis = [(4π × 10⁻⁷) / 4π] × [(10 × 10⁻²) /(0.5)²]

                                                           = [(10)⁻⁸ / (25 ×10⁻²)] = 0.04 × 10⁻⁶

                                                           = 4 × 10⁻⁸ T

                   i.e.      dB➙ = 4 × 10⁸ k˄ T (y axis)