Question

Define Ampere’s Law, Derive equation for a straight wire?​

Answer 1

Explanation:

Ampere's circuital law states that the closed line integral of magnetic field around a current carrying conductor is equal to absolute permeability times the total current threading the conductor. Mathematically, ∮

Let MN be a long straight wire carrying current and P a point at distance

∮B.dl=μ 0 I

′

from wire where magnetic field B has to be found

using Ampere's circuital law, let us consider a circle element dl at P

⇒∮B.dl=μ 0 I

B is constant everywhere on the loop

⇒B∮dl=μ 0 I

⇒B×2πa=μ 0 I

⇒B=( μ 0÷4π)× 2I÷a

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